Pith Number

pith:OFSJAFRT

pith:2020:OFSJAFRTFWLXK7L2HNKGL2CIQC

not attested not anchored not stored refs pending

Rational homotopy type and computability

Fedor Manin

arxiv:2007.10632 v3 · 2020-07-21 · math.AT · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OFSJAFRTFWLXK7L2HNKGL2CIQC}

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	2026-07-05T09:22:35.404642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71649016332d97757d7a3b5465e848808bf36197d305e2d84476f595638baeb2

Aliases

arxiv: 2007.10632 · arxiv_version: 2007.10632v3 · doi: 10.48550/arxiv.2007.10632 · pith_short_12: OFSJAFRTFWLX · pith_short_16: OFSJAFRTFWLXK7L2 · pith_short_8: OFSJAFRT

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/OFSJAFRTFWLXK7L2HNKGL2CIQC \
  | 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: 71649016332d97757d7a3b5465e848808bf36197d305e2d84476f595638baeb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d795cce84a5baccf81a39c5117cd071e0a00a323efa970dfbb56885497dede3a",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2020-07-21T07:27:19Z",
    "title_canon_sha256": "3cc0e0f058b6e185333f66798a68fe667572393cd7d3e4c502ca7f10c140224a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.10632",
    "kind": "arxiv",
    "version": 3
  }
}