Pith Number

pith:J2NTZYLN

pith:2017:J2NTZYLN6GLWHBOZQDN3PNCAG4

not attested not anchored not stored refs pending

$Z^{d}$-odometers and cohomology

Christian F. Skau, Ian F. Putnam, Thierry Giordano

arxiv:1709.08585 v1 · 2017-09-25 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J2NTZYLN6GLWHBOZQDN3PNCAG4}

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	2026-05-18T00:34:25.248035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e9b3ce16df1976385d980dbb7b44037096adedd4cbc950a5ee09c84e3a81d78

Aliases

arxiv: 1709.08585 · arxiv_version: 1709.08585v1 · doi: 10.48550/arxiv.1709.08585 · pith_short_12: J2NTZYLN6GLW · pith_short_16: J2NTZYLN6GLWHBOZ · pith_short_8: J2NTZYLN

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/J2NTZYLN6GLWHBOZQDN3PNCAG4 \
  | 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: 4e9b3ce16df1976385d980dbb7b44037096adedd4cbc950a5ee09c84e3a81d78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "578e9496701347966e77438aef8f10597d1a6b43b699c766a92f5f7b26e767c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-09-25T16:38:53Z",
    "title_canon_sha256": "5fb4eff0c34a6760b89597da51da32ee94f1f5dc7fb65d6b24d2f4a5aba69782"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08585",
    "kind": "arxiv",
    "version": 1
  }
}