Pith Number

pith:5ALW4GSH

pith:2017:5ALW4GSHNY2M7H4DUS277DB5QD

not attested not anchored not stored refs pending

Local coefficients and the Herbert Formula

Petr M. Akhmet'ev, Theodore Yu. Popelenskii

arxiv:1712.01109 v1 · 2017-12-04 · 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{5ALW4GSHNY2M7H4DUS277DB5QD}

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	2026-05-18T00:28:59.498360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8176e1a476e34cf9f83a4b5ff8c3d80dc3a32f7eefa99ac5888d0d4ec45ce5d

Aliases

arxiv: 1712.01109 · arxiv_version: 1712.01109v1 · doi: 10.48550/arxiv.1712.01109 · pith_short_12: 5ALW4GSHNY2M · pith_short_16: 5ALW4GSHNY2M7H4D · pith_short_8: 5ALW4GSH

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/5ALW4GSHNY2M7H4DUS277DB5QD \
  | 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: e8176e1a476e34cf9f83a4b5ff8c3d80dc3a32f7eefa99ac5888d0d4ec45ce5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f041d5ae37f982099760f0a5c4221bf421aa2dcbacfd20130dba7afe2dcb60f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-12-04T14:49:01Z",
    "title_canon_sha256": "75e8bc278c6916fc1c629c344834b3a4597cb24b8f58f890c8c39afd7920cb90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.01109",
    "kind": "arxiv",
    "version": 1
  }
}