Pith Number

pith:BXM5MFUU

pith:2014:BXM5MFUUQF42DPIMCEY7GIVF2B

not attested not anchored not stored refs pending

Volume distortion in homotopy groups

Fedor Manin

arxiv:1410.3368 v4 · 2014-10-13 · 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{BXM5MFUUQF42DPIMCEY7GIVF2B}

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	2026-07-05T01:09:54.112961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dd9d616948179a1bd0c1131f322a5d079cc4ed6445fc413206b71cdb1bb853d

Aliases

arxiv: 1410.3368 · arxiv_version: 1410.3368v4 · doi: 10.48550/arxiv.1410.3368 · pith_short_12: BXM5MFUUQF42 · pith_short_16: BXM5MFUUQF42DPIM · pith_short_8: BXM5MFUU

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/BXM5MFUUQF42DPIMCEY7GIVF2B \
  | 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: 0dd9d616948179a1bd0c1131f322a5d079cc4ed6445fc413206b71cdb1bb853d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c186bdb430e81b56c1fee98f1a9f989e53c1a6d73be5512d667e71c58165560",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-10-13T15:55:54Z",
    "title_canon_sha256": "10dad49387c72e38888ba4a889066f476542dbcce130e77e8ebda8e07ec5a6fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3368",
    "kind": "arxiv",
    "version": 4
  }
}