Pith Number

pith:EP7U4UB5

pith:2012:EP7U4UB5ZXENNLVNRO7HLLYLCQ

not attested not anchored not stored refs pending

Probabilistic Metric Spaces as enriched categories

Carla David Reis, Dirk Hofmann

arxiv:1201.1161 v1 · 2012-01-05 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EP7U4UB5ZXENNLVNRO7HLLYLCQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:05:05.918533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23ff4e503dcdc8d6aead8bbe75af0b1423c9c5705b1ab63001aad7c9df8eb935

Aliases

arxiv: 1201.1161 · arxiv_version: 1201.1161v1 · doi: 10.48550/arxiv.1201.1161 · pith_short_12: EP7U4UB5ZXEN · pith_short_16: EP7U4UB5ZXENNLVN · pith_short_8: EP7U4UB5

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/EP7U4UB5ZXENNLVNRO7HLLYLCQ \
  | 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: 23ff4e503dcdc8d6aead8bbe75af0b1423c9c5705b1ab63001aad7c9df8eb935

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "523d2d7598c94beba86a61b8b19076524a502f5e60e4141ddd42f0188f428e20",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2012-01-05T13:05:41Z",
    "title_canon_sha256": "c2e895e0af5904038dcfcc97b347e3a11de5cdd0fa98a20c4dc1249d11ea4559"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1161",
    "kind": "arxiv",
    "version": 1
  }
}