Pith Number

pith:BO32DTCA

pith:2013:BO32DTCARXP3Y64537G5ERO4OD

not attested not anchored not stored refs pending

Exponentiable approach spaces

Dirk Hofmann, Gavin J. Seal

arxiv:1304.6862 v1 · 2013-04-25 · math.GN · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BO32DTCARXP3Y64537G5ERO4OD}

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	2026-05-18T03:27:10.939807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bb7a1cc408ddfbc7b9ddfcdd245dc70da556a1ed2fc3cecce927f2a9e4edffb

Aliases

arxiv: 1304.6862 · arxiv_version: 1304.6862v1 · doi: 10.48550/arxiv.1304.6862 · pith_short_12: BO32DTCARXP3 · pith_short_16: BO32DTCARXP3Y645 · pith_short_8: BO32DTCA

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/BO32DTCARXP3Y64537G5ERO4OD \
  | 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: 0bb7a1cc408ddfbc7b9ddfcdd245dc70da556a1ed2fc3cecce927f2a9e4edffb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26a2426c7eefd2864093f03af3cdb03ec52051e6b5e93c32b785f45cea87344d",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2013-04-25T10:27:29Z",
    "title_canon_sha256": "31a5f33b488b4a5f50e316c79dd4678c69a4ad7bb7713102842622570ef99277"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6862",
    "kind": "arxiv",
    "version": 1
  }
}