Pith Number

pith:YHKOIXCC

pith:2008:YHKOIXCC5XITZGUXOABDMUVHKQ

not attested not anchored not stored refs pending

Stable equivariant abelianization, its properties, and applications

Pedro F. dos Santos, Zhaohu Nie

arxiv:0804.0264 v2 · 2008-04-01 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YHKOIXCC5XITZGUXOABDMUVHKQ}

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	2026-05-18T01:02:22.285348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1d4e45c42edd13c9a9770023652a75423d341a2c05add6317b061329d9711e1

Aliases

arxiv: 0804.0264 · arxiv_version: 0804.0264v2 · doi: 10.48550/arxiv.0804.0264 · pith_short_12: YHKOIXCC5XIT · pith_short_16: YHKOIXCC5XITZGUX · pith_short_8: YHKOIXCC

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/YHKOIXCC5XITZGUXOABDMUVHKQ \
  | 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: c1d4e45c42edd13c9a9770023652a75423d341a2c05add6317b061329d9711e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc33002c0889c44597bc30c4eecfb60f8c45b768ac0610ecf6b110e817526000",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2008-04-01T22:41:41Z",
    "title_canon_sha256": "4c0f94b872524993e43c611d9c323b5d04e1568500b38ddda1ce0195459142c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.0264",
    "kind": "arxiv",
    "version": 2
  }
}