Pith Number

pith:BDYAP5UR

pith:2013:BDYAP5URZIYGEO2II2RO7SMMFQ

not attested not anchored not stored refs pending

Rigid rational homotopy types

Christopher Lazda

arxiv:1306.6446 v4 · 2013-06-27 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BDYAP5URZIYGEO2II2RO7SMMFQ}

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	2026-05-18T00:52:17.942380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08f007f691ca30623b4846a2efc98c2c39ecc92856ab0ee641eba8643bd53cf7

Aliases

arxiv: 1306.6446 · arxiv_version: 1306.6446v4 · doi: 10.48550/arxiv.1306.6446 · pith_short_12: BDYAP5URZIYG · pith_short_16: BDYAP5URZIYGEO2I · pith_short_8: BDYAP5UR

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/BDYAP5URZIYGEO2II2RO7SMMFQ \
  | 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: 08f007f691ca30623b4846a2efc98c2c39ecc92856ab0ee641eba8643bd53cf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "244333aabd02fcb1b634181c4f62caf35996fcb352a576e15946c65cd769aa38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-27T09:37:15Z",
    "title_canon_sha256": "973d77128c2bb99e7a0607fa3988414e96b5cc6991982154158d22d53c6d19cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6446",
    "kind": "arxiv",
    "version": 4
  }
}