Pith Number

pith:OFDYO5NL

pith:2015:OFDYO5NLFIO447DUGKFWQTWW5K

not attested not anchored not stored refs pending

Cutkosky Rules and Outer Space

Dirk Kreimer, Spencer Bloch

arxiv:1512.01705 v1 · 2015-12-05 · hep-th · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OFDYO5NLFIO447DUGKFWQTWW5K}

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	2026-05-18T01:25:10.567926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71478775ab2a1dce7c74328b684ed6eaa30443b75771867ddd752b6d438ed9e9

Aliases

arxiv: 1512.01705 · arxiv_version: 1512.01705v1 · doi: 10.48550/arxiv.1512.01705 · pith_short_12: OFDYO5NLFIO4 · pith_short_16: OFDYO5NLFIO447DU · pith_short_8: OFDYO5NL

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/OFDYO5NLFIO447DUGKFWQTWW5K \
  | 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: 71478775ab2a1dce7c74328b684ed6eaa30443b75771867ddd752b6d438ed9e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbb20e6441839097d807d6969ae6b37c4fa47c9fecc85812fa950915844a5344",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-12-05T21:53:45Z",
    "title_canon_sha256": "9101946b35a3c38a1dac88b8912992d4231f01c60ff9fc7ee216b2dbd484c9d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01705",
    "kind": "arxiv",
    "version": 1
  }
}