Pith Number

pith:SF4VI53Y

pith:1999:SF4VI53YUP6COJIMJBTTHZIDLL

not attested not anchored not stored refs pending

Distances in Finite Spaces from Noncommutative Geometry

B. Iochum, P. Martinetti, T. Krajewski

arxiv:hep-th/9912217 v1 · 1999-12-22 · hep-th · gr-qc · math-ph · math.MP · 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{SF4VI53YUP6COJIMJBTTHZIDLL}

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	2026-05-18T01:38:34.774564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9179547778a3fc27250c486733e5035acb709d34f7789402f8d9ff122c91079c

Aliases

arxiv: hep-th/9912217 · arxiv_version: hep-th/9912217v1 · doi: 10.48550/arxiv.hep-th/9912217 · pith_short_12: SF4VI53YUP6C · pith_short_16: SF4VI53YUP6COJIM · pith_short_8: SF4VI53Y

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/SF4VI53YUP6COJIMJBTTHZIDLL \
  | 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: 9179547778a3fc27250c486733e5035acb709d34f7789402f8d9ff122c91079c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf31edd84f280ab09e939feedafa591e2cff7498ca850b87d6830a99eb6b970b",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP",
      "math.OA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-12-22T13:17:51Z",
    "title_canon_sha256": "b11fd20292d089198bdbb56bcf02fe53bf016d932d1faabda6db5707d14fb772"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9912217",
    "kind": "arxiv",
    "version": 1
  }
}