Pith Number

pith:5VKPADSR

pith:2013:5VKPADSR62MWKA7TQ4X3MUOZUN

not attested not anchored not stored refs pending

On the dimension of Z-sets

Carrie J. Tirel, Craig R. Guilbault

arxiv:1307.3663 v1 · 2013-07-13 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5VKPADSR62MWKA7TQ4X3MUOZUN}

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	2026-05-18T03:18:28.273628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed54f00e51f6996503f3872fb651d9a3651a5f20cc2340a89d5bd5caa2f2201a

Aliases

arxiv: 1307.3663 · arxiv_version: 1307.3663v1 · doi: 10.48550/arxiv.1307.3663 · pith_short_12: 5VKPADSR62MW · pith_short_16: 5VKPADSR62MWKA7T · pith_short_8: 5VKPADSR

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/5VKPADSR62MWKA7TQ4X3MUOZUN \
  | 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: ed54f00e51f6996503f3872fb651d9a3651a5f20cc2340a89d5bd5caa2f2201a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e64f1ed2c49e945aa46e8f6647deab5e84a41d2c0fae93664e94e41e4abc914a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-07-13T17:02:58Z",
    "title_canon_sha256": "be70cbe7a6d100ea10b0215092beab27009ed902ada08daeba03a726b3efc68b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3663",
    "kind": "arxiv",
    "version": 1
  }
}