Pith Number

pith:ZTEW5G6R

pith:2011:ZTEW5G6RGYYJO3H542NKEPTYZF

not attested not anchored not stored refs pending

Categories as models on a suitable algebraic theory

Giovanni Marelli, Kuerak Chung

arxiv:1109.2091 v1 · 2011-09-09 · 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{ZTEW5G6RGYYJO3H542NKEPTYZF}

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	2026-05-18T04:13:46.255848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccc96e9bd13630976cfde69aa23e78c9576296502d45daf6d4369d6550849f1d

Aliases

arxiv: 1109.2091 · arxiv_version: 1109.2091v1 · doi: 10.48550/arxiv.1109.2091 · pith_short_12: ZTEW5G6RGYYJ · pith_short_16: ZTEW5G6RGYYJO3H5 · pith_short_8: ZTEW5G6R

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/ZTEW5G6RGYYJO3H542NKEPTYZF \
  | 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: ccc96e9bd13630976cfde69aa23e78c9576296502d45daf6d4369d6550849f1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "853218d8ecd7041d2a49aeaf5e97f48f7fbd5c2df758689b038ecc3940b120b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2011-09-09T18:50:57Z",
    "title_canon_sha256": "9788273b3bda77dc8c47515c1d2d1a03ea194e7e5c6584a204befb218ab18f4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2091",
    "kind": "arxiv",
    "version": 1
  }
}