Pith Number

pith:7JFEF3ZI

pith:2015:7JFEF3ZIMVEPAT4HBM3OJY3QAB

not attested not anchored not stored refs pending

Homotopy types of Hom complexes of graphs

Takahiro Matsushita

arxiv:1509.03855 v3 · 2015-09-13 · 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{7JFEF3ZIMVEPAT4HBM3OJY3QAB}

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	2026-05-18T00:39:13.840681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa4a42ef286548f04f870b36e4e3700040607e4ba0148f1852e61f176651a339

Aliases

arxiv: 1509.03855 · arxiv_version: 1509.03855v3 · doi: 10.48550/arxiv.1509.03855 · pith_short_12: 7JFEF3ZIMVEP · pith_short_16: 7JFEF3ZIMVEPAT4H · pith_short_8: 7JFEF3ZI

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/7JFEF3ZIMVEPAT4HBM3OJY3QAB \
  | 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: fa4a42ef286548f04f870b36e4e3700040607e4ba0148f1852e61f176651a339

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38242b1c336d89150f4b9d63e24f3dc9c324c5a048c8253fadc2d6bea950f3f3",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-13T15:04:21Z",
    "title_canon_sha256": "99b48c736a18475f3c9fe30d40f33b03a440523dd9a7d9536b1849bdfb656f1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03855",
    "kind": "arxiv",
    "version": 3
  }
}