Pith Number

pith:IIGGJQN4

pith:2014:IIGGJQN4ZZRX5IU4GBPSZABQMK

not attested not anchored not stored refs pending

A theory of 2-pro-objects (with expanded proofs)

Eduardo J. Dubuc, M. Emilia Descotte

arxiv:1406.5762 v1 · 2014-06-22 · 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{IIGGJQN4ZZRX5IU4GBPSZABQMK}

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	2026-05-18T02:49:10.786582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

420c64c1bcce637ea29c305f2c803062862513347cf19f2234c8123a0f4adc7c

Aliases

arxiv: 1406.5762 · arxiv_version: 1406.5762v1 · doi: 10.48550/arxiv.1406.5762 · pith_short_12: IIGGJQN4ZZRX · pith_short_16: IIGGJQN4ZZRX5IU4 · pith_short_8: IIGGJQN4

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/IIGGJQN4ZZRX5IU4GBPSZABQMK \
  | 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: 420c64c1bcce637ea29c305f2c803062862513347cf19f2234c8123a0f4adc7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc968d69ad64a2af253391906c72b4568e5c4b7d5bf4b32060e28a4c918a83a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2014-06-22T21:05:21Z",
    "title_canon_sha256": "be99cc8c7190386283b72869ace60663f5350776596d1f455165ce71b1138c0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5762",
    "kind": "arxiv",
    "version": 1
  }
}