Pith Number

pith:7Y4TP5FF

pith:2014:7Y4TP5FFLMLK6WK57P7MYURM32

not attested not anchored not stored refs pending

Lecture notes on torsions

Pavel Mnev

arxiv:1406.3705 v1 · 2014-06-14 · math.AT · math-ph · math.KT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7Y4TP5FFLMLK6WK57P7MYURM32}

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	2026-05-18T02:49:45.170330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe3937f4a55b16af595dfbfecc522cdea8feadf5db77fce4803893bf0035bfa9

Aliases

arxiv: 1406.3705 · arxiv_version: 1406.3705v1 · doi: 10.48550/arxiv.1406.3705 · pith_short_12: 7Y4TP5FFLMLK · pith_short_16: 7Y4TP5FFLMLK6WK5 · pith_short_8: 7Y4TP5FF

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/7Y4TP5FFLMLK6WK57P7MYURM32 \
  | 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: fe3937f4a55b16af595dfbfecc522cdea8feadf5db77fce4803893bf0035bfa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2e31c745a73244ea715093575a08e8ae2aedfa4c00241cf847ad1b0cceb535a",
    "cross_cats_sorted": [
      "math-ph",
      "math.KT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-06-14T09:12:36Z",
    "title_canon_sha256": "1752e70deb672695ac1787d6290332b3d17d7ebdc004c91a99e8411c1d63234e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3705",
    "kind": "arxiv",
    "version": 1
  }
}