Pith Number

pith:MEBKI2EW

pith:2015:MEBKI2EWD33FUA3Y6MA7A5CBDW

not attested not anchored not stored refs pending

Signatures in algebra, topology and dynamics

Andrew Ranicki, Etienne Ghys

arxiv:1512.09258 v2 · 2015-12-31 · math.AT · math.DS · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MEBKI2EWD33FUA3Y6MA7A5CBDW}

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	2026-05-18T01:04:41.512518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6102a468961ef65a0378f301f074411d8237ee7e647ab37e55984ea8c7636979

Aliases

arxiv: 1512.09258 · arxiv_version: 1512.09258v2 · doi: 10.48550/arxiv.1512.09258 · pith_short_12: MEBKI2EWD33F · pith_short_16: MEBKI2EWD33FUA3Y · pith_short_8: MEBKI2EW

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/MEBKI2EWD33FUA3Y6MA7A5CBDW \
  | 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: 6102a468961ef65a0378f301f074411d8237ee7e647ab37e55984ea8c7636979

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47aa6c82f6f053575ba326161e552610b40634cc6ce10b464d182a52c1ed289d",
    "cross_cats_sorted": [
      "math.DS",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-12-31T11:03:34Z",
    "title_canon_sha256": "720d6da8e48588b0876136960529217883640f82235c5dc810e360ee3f41a12a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.09258",
    "kind": "arxiv",
    "version": 2
  }
}