Pith Number

pith:JO55VYEU

pith:2007:JO55VYEU3PRQGKEJWVIPZYOOSM

not attested not anchored not stored refs pending

Filtered Hirsch Algebras

Samson Saneblidze

arxiv:0707.2165 v12 · 2007-07-16 · 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{JO55VYEU3PRQGKEJWVIPZYOOSM}

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	2026-05-18T01:15:39.314448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bbbdae094dbe3032889b550fce1ce9332070880f3146807548b4da24489cc32

Aliases

arxiv: 0707.2165 · arxiv_version: 0707.2165v12 · doi: 10.48550/arxiv.0707.2165 · pith_short_12: JO55VYEU3PRQ · pith_short_16: JO55VYEU3PRQGKEJ · pith_short_8: JO55VYEU

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/JO55VYEU3PRQGKEJWVIPZYOOSM \
  | 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: 4bbbdae094dbe3032889b550fce1ce9332070880f3146807548b4da24489cc32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f5898b5401c4186773e3ab0d3fd6a16de0da3a8e3ef1829b930863f6928ee1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2007-07-16T07:36:11Z",
    "title_canon_sha256": "f37002b3b3a333b14e29ae76908c188666b663bf3eb0f528ae12732305ce8d6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.2165",
    "kind": "arxiv",
    "version": 12
  }
}