Pith Number

pith:FZ3ZWZ3N

pith:2019:FZ3ZWZ3NOM4VZ7ZEV5T4KBUJAV

not attested not anchored not stored refs pending

Compatible Cycles and CHY Integrals

Freddy Cachazo, Karen Yeats, Samuel Yusim

arxiv:1907.12661 v3 · 2019-07-29 · math-ph · hep-th · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FZ3ZWZ3NOM4VZ7ZEV5T4KBUJAV}

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	2026-07-05T00:36:30.319101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e779b676d73395cff24af67c506890567e7c50402c4c634ab19d63a96c65bc1

Aliases

arxiv: 1907.12661 · arxiv_version: 1907.12661v3 · doi: 10.48550/arxiv.1907.12661 · pith_short_12: FZ3ZWZ3NOM4V · pith_short_16: FZ3ZWZ3NOM4VZ7ZE · pith_short_8: FZ3ZWZ3N

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/FZ3ZWZ3NOM4VZ7ZEV5T4KBUJAV \
  | 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: 2e779b676d73395cff24af67c506890567e7c50402c4c634ab19d63a96c65bc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "924b66cd40b83179d4ccdd178010cf75887d19f54c9d3d42d60f30a1b57144a4",
    "cross_cats_sorted": [
      "hep-th",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-07-29T21:34:59Z",
    "title_canon_sha256": "06a62a223380fdfe0abf297c80ceea9b89041e19f054beb17175e703ef49b787"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.12661",
    "kind": "arxiv",
    "version": 3
  }
}