Pith Number

pith:VJPWCVU7

pith:2015:VJPWCVU7Q3UWZYF6V6ORS5QYVN

not attested not anchored not stored refs pending

Overcategories and undercategories of model categories

Philip S. Hirschhorn

arxiv:1507.01624 v1 · 2015-07-06 · 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{VJPWCVU7Q3UWZYF6V6ORS5QYVN}

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	2026-05-18T01:37:12.871420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa5f61569f86e96ce0beaf9d197618ab584de125b5206e014e820801a06f0cd8

Aliases

arxiv: 1507.01624 · arxiv_version: 1507.01624v1 · doi: 10.48550/arxiv.1507.01624 · pith_short_12: VJPWCVU7Q3UW · pith_short_16: VJPWCVU7Q3UWZYF6 · pith_short_8: VJPWCVU7

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/VJPWCVU7Q3UWZYF6V6ORS5QYVN \
  | 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: aa5f61569f86e96ce0beaf9d197618ab584de125b5206e014e820801a06f0cd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ec95d614444a6fda64980a7096ff416e31c24ee5ff6d4de96c0a14763a12627",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-07-06T21:26:05Z",
    "title_canon_sha256": "19b7e9ad3b9e662420a7d977689c5b1be8665520aa84b13619910b0be1bb738e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01624",
    "kind": "arxiv",
    "version": 1
  }
}