Pith Number

pith:3VFNFNZN

pith:2017:3VFNFNZN3NJ5JCQWF3VGMJD52T

not attested not anchored not stored refs pending

CD meets CAT

Christian Ketterer, Vitali Kapovitch

arxiv:1712.02839 v3 · 2017-12-07 · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3VFNFNZN3NJ5JCQWF3VGMJD52T}

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	2026-05-18T00:25:28.628766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd4ad2b72ddb53d48a162eea66247dd4c2135db9eb61c059ddf23cd507d69857

Aliases

arxiv: 1712.02839 · arxiv_version: 1712.02839v3 · doi: 10.48550/arxiv.1712.02839 · pith_short_12: 3VFNFNZN3NJ5 · pith_short_16: 3VFNFNZN3NJ5JCQW · pith_short_8: 3VFNFNZN

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/3VFNFNZN3NJ5JCQWF3VGMJD52T \
  | 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: dd4ad2b72ddb53d48a162eea66247dd4c2135db9eb61c059ddf23cd507d69857

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acc28e5ddefe735e1430db6bd362c1392241dd99fa752021757e7ddd7ed97f2d",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-12-07T19:53:37Z",
    "title_canon_sha256": "89100718de9ab35b35f04efc4b5ca9225ddc408809878b1905ce3b818e273c61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02839",
    "kind": "arxiv",
    "version": 3
  }
}