Pith Number

pith:N2IJUYUL

pith:2015:N2IJUYULIKUTPKB5CPROZP7JO4

not attested not anchored not stored refs pending

Ultragraphs and shifts spaces over infinite alphabets

Daniel Gon\c{c}alves, Danilo Royer

arxiv:1510.04649 v2 · 2015-10-15 · math.DS · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N2IJUYULIKUTPKB5CPROZP7JO4}

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	2026-05-18T01:30:00.687050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e909a628b42a937a83d13e2ecbfe9771bf17058b9aa7efa07902991f1843b62

Aliases

arxiv: 1510.04649 · arxiv_version: 1510.04649v2 · doi: 10.48550/arxiv.1510.04649 · pith_short_12: N2IJUYULIKUT · pith_short_16: N2IJUYULIKUTPKB5 · pith_short_8: N2IJUYUL

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/N2IJUYULIKUTPKB5CPROZP7JO4 \
  | 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: 6e909a628b42a937a83d13e2ecbfe9771bf17058b9aa7efa07902991f1843b62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "675b88a3790d155a105369880c9cf4cec0e5c0ac3e815f2e0813c8ffa0d672fd",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-10-15T18:03:23Z",
    "title_canon_sha256": "dd48c1ce1de60e3792896ef800cda26cde634148b7329f8b15e69e262b3e0d23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04649",
    "kind": "arxiv",
    "version": 2
  }
}