Pith Number

pith:DAEET4Q3

pith:1998:DAEET4Q3J6URS3EKQ2EI47T3HK

not attested not anchored not stored refs pending

The Hopf modules category and the Hopf equation

Gigel Militaru

arxiv:math/9807003 v1 · 1998-07-02 · 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{DAEET4Q3J6URS3EKQ2EI47T3HK}

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	2026-05-18T02:56:12.935225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

180849f21b4fa9196c8a86888e7e7b3a9d21defd1bf35faa340f0f1048267eb6

Aliases

arxiv: math/9807003 · arxiv_version: math/9807003v1 · doi: 10.48550/arxiv.math/9807003 · pith_short_12: DAEET4Q3J6UR · pith_short_16: DAEET4Q3J6URS3EK · pith_short_8: DAEET4Q3

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/DAEET4Q3J6URS3EKQ2EI47T3HK \
  | 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: 180849f21b4fa9196c8a86888e7e7b3a9d21defd1bf35faa340f0f1048267eb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57df0b337e4933c650e60f9d3fc5558f9dc4252ef662d2790c780e3e2ffad09e",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "1998-07-02T10:40:42Z",
    "title_canon_sha256": "ee69fc253815809bb237a16cb992a93a12fcebda0c0fd0d076e859b6f1270adb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9807003",
    "kind": "arxiv",
    "version": 1
  }
}