Pith Number

pith:GF4KQBAU

pith:2015:GF4KQBAUZ2VPNJJG254JN27H5T

not attested not anchored not stored refs pending

Approximate categorical structures

Abdelkrim Aliouche, Carlos Simpson

arxiv:1511.01532 v1 · 2015-11-04 · math.CT · 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{GF4KQBAUZ2VPNJJG254JN27H5T}

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	2026-05-18T01:27:45.356665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3178a80414ceaaf6a526d77896ebe7ecc4133b2d995578f51eb535849230288f

Aliases

arxiv: 1511.01532 · arxiv_version: 1511.01532v1 · doi: 10.48550/arxiv.1511.01532 · pith_short_12: GF4KQBAUZ2VP · pith_short_16: GF4KQBAUZ2VPNJJG · pith_short_8: GF4KQBAU

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/GF4KQBAUZ2VPNJJG254JN27H5T \
  | 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: 3178a80414ceaaf6a526d77896ebe7ecc4133b2d995578f51eb535849230288f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b76a10068e8f199589932b70b70d3e4b3735f4b7164b884e4f99d193a7d58789",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2015-11-04T22:04:06Z",
    "title_canon_sha256": "0af7f29fed715ca413bb76736c18fc0422a2f6a8131f8a2a4dc6fc6827b18f43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01532",
    "kind": "arxiv",
    "version": 1
  }
}