Pith Number

pith:Q4GH5Y25

pith:2020:Q4GH5Y256673F2VM3CWFMUU6MB

not attested not anchored not stored refs pending

A Higher Structure Identity Principle

Benedikt Ahrens, Dimitris Tsementzis, Michael Shulman, Paige Randall North

arxiv:2004.06572 v3 · 2020-04-14 · math.LO · cs.LO · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q4GH5Y256673F2VM3CWFMUU6MB}

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	2026-07-05T01:12:43.768250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

870c7ee35df7bfb2eaacd8ac56529e6064b759d55996fa2ddbc817e65e42aaa6

Aliases

arxiv: 2004.06572 · arxiv_version: 2004.06572v3 · doi: 10.48550/arxiv.2004.06572 · pith_short_12: Q4GH5Y256673 · pith_short_16: Q4GH5Y256673F2VM · pith_short_8: Q4GH5Y25

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/Q4GH5Y256673F2VM3CWFMUU6MB \
  | 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: 870c7ee35df7bfb2eaacd8ac56529e6064b759d55996fa2ddbc817e65e42aaa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1bd2db573bb782308037ac2ed962b30cf99fba1c56095cecc89ae2bbf072e08",
    "cross_cats_sorted": [
      "cs.LO",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2020-04-14T14:57:13Z",
    "title_canon_sha256": "0a5ed62a19426e3d34d0d878dcc1de8b80941acc5538882fb3b61f977b08661b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.06572",
    "kind": "arxiv",
    "version": 3
  }
}