Pith Number

pith:WWH5TA4F

pith:2010:WWH5TA4FLILYORZYVXU4RUMWZW

not attested not anchored not stored refs pending

A Surprise in the Amplitude/Wilson Loop Duality

Andreas Brandhuber, Bill Spence, Dung Nguyen, Gabriele Travaglini, Marcus Spradlin, Panagiotis Katsaroumpas, Paul Heslop

arxiv:1004.2855 v2 · 2010-04-16 · 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{WWH5TA4FLILYORZYVXU4RUMWZW}

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	2026-05-18T04:41:15.157244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b58fd983855a17874738ade9c8d196cdb33ae455802ca22315d65dc6bad45e27

Aliases

arxiv: 1004.2855 · arxiv_version: 1004.2855v2 · doi: 10.48550/arxiv.1004.2855 · pith_short_12: WWH5TA4FLILY · pith_short_16: WWH5TA4FLILYORZY · pith_short_8: WWH5TA4F

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/WWH5TA4FLILYORZYVXU4RUMWZW \
  | 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: b58fd983855a17874738ade9c8d196cdb33ae455802ca22315d65dc6bad45e27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64d6f17a266072b53da243f76986f8d04ea21b95149735a649feab409961ea37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-04-16T14:41:50Z",
    "title_canon_sha256": "d93c5d7b54cf1d643854bec62e8e631a79347489c8ee7671c5f58143ee6e3877"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2855",
    "kind": "arxiv",
    "version": 2
  }
}