Pith Number

pith:TXDZAYVK

pith:2004:TXDZAYVKXK7Z4BGXWWEQOWN2KJ

not attested not anchored not stored refs pending

Homological realization of prescribed abelian groups via $K$-theory

A. J. Berrick, M. Matthey

arxiv:math/0412365 v1 · 2004-12-18 · math.GR · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TXDZAYVKXK7Z4BGXWWEQOWN2KJ}

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	2026-05-18T01:11:27.897157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dc79062aababf9e04d7b5890759ba52519026dd450ec79b50cb8a06333a8aad

Aliases

arxiv: math/0412365 · arxiv_version: math/0412365v1 · doi: 10.48550/arxiv.math/0412365 · pith_short_12: TXDZAYVKXK7Z · pith_short_16: TXDZAYVKXK7Z4BGX · pith_short_8: TXDZAYVK

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/TXDZAYVKXK7Z4BGXWWEQOWN2KJ \
  | 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: 9dc79062aababf9e04d7b5890759ba52519026dd450ec79b50cb8a06333a8aad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4ddf0c0db2b40da745d0f54f5f9671eba8c68528e9a1c56752ef9478c99d82d",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2004-12-18T18:39:31Z",
    "title_canon_sha256": "d9559d110b882f7ef8b670c3acd2c566e11ea9fd7bfd6c612fe9abb4785d1ee3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0412365",
    "kind": "arxiv",
    "version": 1
  }
}