Pith Number

pith:HBJUBCLS

pith:2018:HBJUBCLSZTQ3ZLYKMVKXPQZCBA

not attested not anchored not stored refs pending

Five-Point Two-Loop Amplitudes from Numerical Unitarity

Ben Page, Fernando Febres Cordero, Harald Ita, Mao Zeng, Samuel Abreu

arxiv:1807.09447 v1 · 2018-07-25 · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HBJUBCLSZTQ3ZLYKMVKXPQZCBA}

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.

Receipt and verification

First computed	2026-05-18T00:09:51.323516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3853408972cce1bcaf0a655577c3220827606074c2a36e483f13c4b7e4b2c805

Aliases

arxiv: 1807.09447 · arxiv_version: 1807.09447v1 · doi: 10.48550/arxiv.1807.09447 · pith_short_12: HBJUBCLSZTQ3 · pith_short_16: HBJUBCLSZTQ3ZLYK · pith_short_8: HBJUBCLS

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/HBJUBCLSZTQ3ZLYKMVKXPQZCBA \
  | 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: 3853408972cce1bcaf0a655577c3220827606074c2a36e483f13c4b7e4b2c805

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1b2b5a353cc3fa074293ddf53de9821ddaaa60635faf8748a9abfc9bf9d0e83",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2018-07-25T06:14:26Z",
    "title_canon_sha256": "29ed469785dd87c42256a9b34970ffd21ecb487492bb6f0fedaeb75cf549b4d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.09447",
    "kind": "arxiv",
    "version": 1
  }
}