Pith Number

pith:YDGTWFCL

pith:2013:YDGTWFCL4JFXNLTMZPMCQNWJM4

not attested not anchored not stored refs pending

Comodule Hom-coalgebras

Tao Zhang

arxiv:1301.4152 v1 · 2013-01-17 · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YDGTWFCL4JFXNLTMZPMCQNWJM4}

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	2026-05-18T03:36:14.146149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0cd3b144be24b76ae6ccbd82836c9670e9ff221e8a124f00a69a22a94de8b60

Aliases

arxiv: 1301.4152 · arxiv_version: 1301.4152v1 · doi: 10.48550/arxiv.1301.4152 · pith_short_12: YDGTWFCL4JFX · pith_short_16: YDGTWFCL4JFXNLTM · pith_short_8: YDGTWFCL

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/YDGTWFCL4JFXNLTMZPMCQNWJM4 \
  | 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: c0cd3b144be24b76ae6ccbd82836c9670e9ff221e8a124f00a69a22a94de8b60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b854783eb24148397ea10d9e774faca06b35cbc100be40fbc02525495d893fb",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-01-17T16:33:40Z",
    "title_canon_sha256": "8224ae2496e1fc58197322dac6dd65bbdc044a561a0cc13294789c7a952bacdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4152",
    "kind": "arxiv",
    "version": 1
  }
}