Pith Number

pith:ZBTSA5TE

pith:2012:ZBTSA5TEPDBEJI46U23JKF3QJL

not attested not anchored not stored refs pending

The Twelve-Graviton Next-to-MHV Amplitude from Risager's Construction

Eduardo Conde, Sayeh Rajabi

arxiv:1205.3500 v5 · 2012-05-15 · 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{ZBTSA5TEPDBEJI46U23JKF3QJL}

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	2026-05-18T03:39:05.106664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c86720766478c244a39ea6b69517704ad821da6a5ad2d2c7efb1a61bf5e7d6a1

Aliases

arxiv: 1205.3500 · arxiv_version: 1205.3500v5 · doi: 10.48550/arxiv.1205.3500 · pith_short_12: ZBTSA5TEPDBE · pith_short_16: ZBTSA5TEPDBEJI46 · pith_short_8: ZBTSA5TE

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/ZBTSA5TEPDBEJI46U23JKF3QJL \
  | 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: c86720766478c244a39ea6b69517704ad821da6a5ad2d2c7efb1a61bf5e7d6a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da4cba2b39cd1948854d82876249fdfe5ef9b75b01e2c05826da0f1ec7c98e0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-05-15T20:01:05Z",
    "title_canon_sha256": "f44c34d7c68d1609175f7e3dc016bd2a27b4a40c26360d6f722abe75c286ee0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3500",
    "kind": "arxiv",
    "version": 5
  }
}