Pith Number

pith:YMRHMPS7

pith:2013:YMRHMPS7JZJO7C55IXB4IJHH2I

not attested not anchored not stored refs pending

Disconnected rational homotopy theory

Andrey Lazarev, Martin Markl

arxiv:1305.1037 v2 · 2013-05-05 · math.AT · math.AG · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YMRHMPS7JZJO7C55IXB4IJHH2I}

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	2026-05-18T03:01:46.563273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c322763e5f4e52ef8bbd45c3c424e7d220b5e588f6607ba2edd78bf5b1d2193c

Aliases

arxiv: 1305.1037 · arxiv_version: 1305.1037v2 · doi: 10.48550/arxiv.1305.1037 · pith_short_12: YMRHMPS7JZJO · pith_short_16: YMRHMPS7JZJO7C55 · pith_short_8: YMRHMPS7

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/YMRHMPS7JZJO7C55IXB4IJHH2I \
  | 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: c322763e5f4e52ef8bbd45c3c424e7d220b5e588f6607ba2edd78bf5b1d2193c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4eb9e7119c4d0a5f3cb86014d1378d2ab995dddb4818369c9b9807c8391033e3",
    "cross_cats_sorted": [
      "math.AG",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-05-05T18:48:08Z",
    "title_canon_sha256": "599660e24f2eb69ae6db5a58221a633644f317d140673c0b415940c31522e62d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1037",
    "kind": "arxiv",
    "version": 2
  }
}