Pith Number

pith:VPM2VDFT

pith:2010:VPM2VDFTFWSS6PWBC3JDLWM2RL

not attested not anchored not stored refs pending

A Proof of the Explicit Minimal-basis Expansion of Tree Amplitudes in Gauge Field Theory

Bo Feng, Yi-Jian Du, Yi-Xin Chen

arxiv:1101.0009 v1 · 2010-12-29 · 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{VPM2VDFTFWSS6PWBC3JDLWM2RL}

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

Migration-Driven Demographic Changes: effects on local communities in the canton of Fribourg

Receipt and verification

First computed	2026-05-18T04:26:34.230516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abd9aa8cb32da52f3ec116d235d99a8aca23a1fefb5fda1c596c78424c384755

Aliases

arxiv: 1101.0009 · arxiv_version: 1101.0009v1 · doi: 10.48550/arxiv.1101.0009 · pith_short_12: VPM2VDFTFWSS · pith_short_16: VPM2VDFTFWSS6PWB · pith_short_8: VPM2VDFT

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/VPM2VDFTFWSS6PWBC3JDLWM2RL \
  | 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: abd9aa8cb32da52f3ec116d235d99a8aca23a1fefb5fda1c596c78424c384755

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a8ed3cea756712a78e69e61938667661a6ed9f0a5252db732d69d76ef64be5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-12-29T21:25:18Z",
    "title_canon_sha256": "72c01c4c6700168386d31f5e350781c0ca6c7b69939832f462e65e94382cb7a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0009",
    "kind": "arxiv",
    "version": 1
  }
}