Pith Number

pith:OD5Z2QPA

pith:2005:OD5Z2QPA2TCETO2324SNG2VPEW

not attested not anchored not stored refs pending

Resolution of the residue class field via algebraic discrete Morse theory

Michael Joellenbeck, Volkmar Welker

arxiv:math/0501179 v1 · 2005-01-12 · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OD5Z2QPA2TCETO2324SNG2VPEW}

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	2026-05-18T01:05:23.851148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70fb9d41e0d4c449bb5bd724d36aaf259c66de2eabc537e22dd5686c7b15d1ca

Aliases

arxiv: math/0501179 · arxiv_version: math/0501179v1 · doi: 10.48550/arxiv.math/0501179 · pith_short_12: OD5Z2QPA2TCE · pith_short_16: OD5Z2QPA2TCETO23 · pith_short_8: OD5Z2QPA

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/OD5Z2QPA2TCETO2324SNG2VPEW \
  | 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: 70fb9d41e0d4c449bb5bd724d36aaf259c66de2eabc537e22dd5686c7b15d1ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fa2ef9f3f9e1bccdcfc46509b7ec1be8e7124ba2f179bce10361d31a7a84562",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2005-01-12T08:41:22Z",
    "title_canon_sha256": "81c1f5dc3da2bb671755990eaa74047ee8fd103ff039e4f6186ee30f9933c489"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0501179",
    "kind": "arxiv",
    "version": 1
  }
}