Pith Number

pith:ZSRVAFZ2

pith:2022:ZSRVAFZ27RFVPT4GBIMJNFBXG7

not attested not anchored not stored refs pending

On the homotopy type of multipath complexes

Carlo Collari, Jason P. Smith, Luigi Caputi, Sabino Di Trani

arxiv:2208.04656 v1 · 2022-08-09 · math.CO · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZSRVAFZ27RFVPT4GBIMJNFBXG7}

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	2026-07-05T04:46:59.696430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cca350173afc4b57cf860a1896943737f53a66ad97ea9d96659d1877d3762802

Aliases

arxiv: 2208.04656 · arxiv_version: 2208.04656v1 · doi: 10.48550/arxiv.2208.04656 · pith_short_12: ZSRVAFZ27RFV · pith_short_16: ZSRVAFZ27RFVPT4G · pith_short_8: ZSRVAFZ2

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/ZSRVAFZ27RFVPT4GBIMJNFBXG7 \
  | 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: cca350173afc4b57cf860a1896943737f53a66ad97ea9d96659d1877d3762802

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbb85ec12b8bda5720129db0c6b4d3d442c4b7aaad769999e7d4e193c28e5a13",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-08-09T10:44:04Z",
    "title_canon_sha256": "5bc1e42592556284ea645f474273b2a29321988093856f21a7489789d06025d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.04656",
    "kind": "arxiv",
    "version": 1
  }
}