Pith Number

pith:VMJLIU3Y

pith:2008:VMJLIU3Y6IXI5MBGSX4LYDWHAJ

not attested not anchored not stored refs pending

A colimit of classifying spaces

Graham Ellis, Roman Mikhailov

arxiv:0804.3581 v1 · 2008-04-22 · math.GR · 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{VMJLIU3Y6IXI5MBGSX4LYDWHAJ}

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	2026-05-18T04:41:36.890111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab12b45378f22e8eb02695f8bc0ec702402e57261098e5035d057b517102deec

Aliases

arxiv: 0804.3581 · arxiv_version: 0804.3581v1 · doi: 10.48550/arxiv.0804.3581 · pith_short_12: VMJLIU3Y6IXI · pith_short_16: VMJLIU3Y6IXI5MBG · pith_short_8: VMJLIU3Y

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/VMJLIU3Y6IXI5MBGSX4LYDWHAJ \
  | 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: ab12b45378f22e8eb02695f8bc0ec702402e57261098e5035d057b517102deec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5974a67bd842f7bad0fcf8d2c4ce4289ae7f6905f74a1b34e050025314e01805",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-04-22T18:36:03Z",
    "title_canon_sha256": "34713be02959cf4b34fa4ad8b80b2486f1ca273f377869a430b693a85f57d415"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.3581",
    "kind": "arxiv",
    "version": 1
  }
}