Pith Number

pith:LHK5PFRU

pith:2012:LHK5PFRUAFHT7XPMJO4DQW5FTY

not attested not anchored not stored refs pending

Positroids, Plabic Graphs, and Scattering Amplitudes in Mathematica

Jacob L. Bourjaily

arxiv:1212.6974 v1 · 2012-12-31 · hep-th · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LHK5PFRUAFHT7XPMJO4DQW5FTY}

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

Geometric Landau Analysis and Symbol Bootstrap

Receipt and verification

First computed	2026-05-18T03:37:29.381514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59d5d79634014f3fddec4bb8385ba59e3512b98055cd04679b1e3718d0be096b

Aliases

arxiv: 1212.6974 · arxiv_version: 1212.6974v1 · doi: 10.48550/arxiv.1212.6974 · pith_short_12: LHK5PFRUAFHT · pith_short_16: LHK5PFRUAFHT7XPM · pith_short_8: LHK5PFRU

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/LHK5PFRUAFHT7XPMJO4DQW5FTY \
  | 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: 59d5d79634014f3fddec4bb8385ba59e3512b98055cd04679b1e3718d0be096b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4264b7854807e1133f1a286bd8c91b948390ebc0a157f3a8bce4ea1d21e7517b",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-12-31T20:59:56Z",
    "title_canon_sha256": "e9e9f5b24dcb69b39e9046f7402835e32b43650a577bf5be3def3c58b7102c91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6974",
    "kind": "arxiv",
    "version": 1
  }
}