Pith Number

pith:XQJUQPWV

pith:2004:XQJUQPWVXX3AIT7FNCPJYIALCP

not attested not anchored not stored refs pending

Notes on the Milnor conjectures

Daniel Dugger

arxiv:math/0408436 v1 · 2004-08-31 · 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{XQJUQPWVXX3AIT7FNCPJYIALCP}

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.

Cited by

1 paper in Pith

A cellular (co)homology computation for $\overline{M_{0,n}}$

Receipt and verification

First computed	2026-07-04T14:39:01.874807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc13483ed5bdf6044fe5689e9c200b13e4a919b82b0557f5da03c841ed5b61d0

Aliases

arxiv: math/0408436 · arxiv_version: math/0408436v1 · doi: 10.48550/arxiv.math/0408436 · pith_short_12: XQJUQPWVXX3A · pith_short_16: XQJUQPWVXX3AIT7F · pith_short_8: XQJUQPWV

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/XQJUQPWVXX3AIT7FNCPJYIALCP \
  | 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: bc13483ed5bdf6044fe5689e9c200b13e4a919b82b0557f5da03c841ed5b61d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2dcd205f01cb1ecb9223968cb84221650642c67eab4d0429d9da3888497b34d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2004-08-31T17:20:39Z",
    "title_canon_sha256": "5ba1963bd481e3aa665d661f5f0cd922e91139ed26d767308be4bc9cb19c8182"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0408436",
    "kind": "arxiv",
    "version": 1
  }
}