Pith Number

pith:EQ3XM326

pith:2014:EQ3XM326ZSNUWQX4CVMJWWEFWX

not attested not anchored not stored refs pending

Coverings of graded pointed Hopf algebras

Esther Beneish, William Chin

arxiv:1401.8061 v2 · 2014-01-31 · 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{EQ3XM326ZSNUWQX4CVMJWWEFWX}

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	2026-05-18T02:45:58.020719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2437766f5ecc9b4b42fc15589b5885b5fe9ae9cd741a766e6d19a9729cd7fa91

Aliases

arxiv: 1401.8061 · arxiv_version: 1401.8061v2 · doi: 10.48550/arxiv.1401.8061 · pith_short_12: EQ3XM326ZSNU · pith_short_16: EQ3XM326ZSNUWQX4 · pith_short_8: EQ3XM326

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/EQ3XM326ZSNUWQX4CVMJWWEFWX \
  | 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: 2437766f5ecc9b4b42fc15589b5885b5fe9ae9cd741a766e6d19a9729cd7fa91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "092845ad0c11569414787f2c767d68da977f21f7eef23a9b55a9a1a8aeb0b8f9",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2014-01-31T04:39:44Z",
    "title_canon_sha256": "5cc74bc0a8f581b3ea0d2815974e74a148f07a3f808d2f4ed40fd687a9e10013"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.8061",
    "kind": "arxiv",
    "version": 2
  }
}