Pith Number

pith:RH5CTI2Q

pith:2020:RH5CTI2Q7R3DBYGNVLJRXSJR5K

not attested not anchored not stored refs pending

KNTZ trick from arborescent calculus and the structure of differential expansion

A.Morozov

arxiv:2001.10254 v1 · 2020-01-28 · hep-th · math-ph · math.GT · 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{RH5CTI2Q7R3DBYGNVLJRXSJR5K}

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

Bipartite expansion beyond biparticity

Receipt and verification

First computed	2026-07-05T01:23:56.642928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89fa29a350fc7630e0cdaad31bc931ea88ba927828b0c8894e0c8ce44242a353

Aliases

arxiv: 2001.10254 · arxiv_version: 2001.10254v1 · doi: 10.48550/arxiv.2001.10254 · pith_short_12: RH5CTI2Q7R3D · pith_short_16: RH5CTI2Q7R3DBYGN · pith_short_8: RH5CTI2Q

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/RH5CTI2Q7R3DBYGNVLJRXSJR5K \
  | 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: 89fa29a350fc7630e0cdaad31bc931ea88ba927828b0c8894e0c8ce44242a353

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e5fac27b94cc87c8c414a71542d20b62cf8463e755a1ca0d3edbae18b88b6ee",
    "cross_cats_sorted": [
      "math-ph",
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-01-28T10:40:15Z",
    "title_canon_sha256": "0fd2ee45bd3930562922ecd10131cd68a5e551913e7af38098a37a5684ce5726"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.10254",
    "kind": "arxiv",
    "version": 1
  }
}