Pith Number

pith:YFBGFSOM

pith:2015:YFBGFSOMD2EJVUO4OEQQO7FMAV

not attested not anchored not stored refs pending

Pro-categories in homotopy theory

Geoffroy Horel, Ilan Barnea, Yonatan Harpaz

arxiv:1507.01564 v3 · 2015-07-06 · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YFBGFSOMD2EJVUO4OEQQO7FMAV}

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	2026-05-18T00:51:52.291007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c14262c9cc1e889ad1dc7121077cac0570f4ffe355de81cfe1227f6d6629054a

Aliases

arxiv: 1507.01564 · arxiv_version: 1507.01564v3 · doi: 10.48550/arxiv.1507.01564 · pith_short_12: YFBGFSOMD2EJ · pith_short_16: YFBGFSOMD2EJVUO4 · pith_short_8: YFBGFSOM

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/YFBGFSOMD2EJVUO4OEQQO7FMAV \
  | 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: c14262c9cc1e889ad1dc7121077cac0570f4ffe355de81cfe1227f6d6629054a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0acbbe59f3dc03f8fbc51a3d5d96457f1f7bc40bc0b27b6598784ffc16de29ed",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-07-06T19:08:12Z",
    "title_canon_sha256": "c1edeb9adf67a35406ba2389ae5afbf19f30720ae0890a04f1984ce8516eab38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01564",
    "kind": "arxiv",
    "version": 3
  }
}