Pith Number

pith:7HW6X34Q

pith:2005:7HW6X34Q26NVCB6JSDF5ON33SN

not attested not anchored not stored refs pending

MHV-Vertices for Gravity Amplitudes

David C. Dunbar, Harald Ita, Kasper Risager, N. E. J. Bjerrum-Bohr, Warren B. Perkins

arxiv:hep-th/0509016 v3 · 2005-09-01 · 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{7HW6X34Q26NVCB6JSDF5ON33SN}

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	2026-07-04T16:56:19.227753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9edebef90d79b5107c990cbd7377b935505e4d926f92d8c258adebdc61421fb

Aliases

arxiv: hep-th/0509016 · arxiv_version: hep-th/0509016v3 · doi: 10.48550/arxiv.hep-th/0509016 · pith_short_12: 7HW6X34Q26NV · pith_short_16: 7HW6X34Q26NVCB6J · pith_short_8: 7HW6X34Q

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/7HW6X34Q26NVCB6JSDF5ON33SN \
  | 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: f9edebef90d79b5107c990cbd7377b935505e4d926f92d8c258adebdc61421fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ea54c0f9b9934010263a44655f3325ad1c9acdbbb25214019180cf0b65da8eb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-09-01T19:42:48Z",
    "title_canon_sha256": "d0a5b2b3453d41fea02bf917d38c93b8aa4368c754d84da06b478b7ef39cf93c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0509016",
    "kind": "arxiv",
    "version": 3
  }
}