Pith Number

pith:ZSE2P6WU

pith:2005:ZSE2P6WU6AL5L3C5AGGTFOG6FJ

not attested not anchored not stored refs pending

Recursion Relations for Gauge Theory Amplitudes with Massive Particles

E.W.N. Glover, Inst. Advanced Study), P. Svrcek (Princeton, S.D. Badger, V.V. Khoze (Durham U.)

arxiv:hep-th/0504159 v1 · 2005-04-19 · hep-th · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZSE2P6WU6AL5L3C5AGGTFOG6FJ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Perturbative construction of amplitudes from on-shell trees with vacuum pairs: the all-plus four-gluon amplitude through order $\boldsymbol{g}^{\boldsymbol{6}}$

Receipt and verification

First computed	2026-07-04T16:56:09.535684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc89a7fad4f017d5ec5d018d32b8de2a6ae37f43fa134f46f3507d7bed454090

Aliases

arxiv: hep-th/0504159 · arxiv_version: hep-th/0504159v1 · doi: 10.48550/arxiv.hep-th/0504159 · pith_short_12: ZSE2P6WU6AL5 · pith_short_16: ZSE2P6WU6AL5L3C5 · pith_short_8: ZSE2P6WU

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZSE2P6WU6AL5L3C5AGGTFOG6FJ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: cc89a7fad4f017d5ec5d018d32b8de2a6ae37f43fa134f46f3507d7bed454090

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f9a0ad5a5d80b950cef4b65fcc8f7bfead3bddc418895bdf552a89a61fc854f",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-04-19T16:41:37Z",
    "title_canon_sha256": "c50fe28c26f26716a38678325d2be5a6b84ed28866666a9247a538466cca0b3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0504159",
    "kind": "arxiv",
    "version": 1
  }
}