Pith Number

pith:Q2CQUFNU

pith:2014:Q2CQUFNUEGFJS3O3NYWVLT3SWB

not attested not anchored not stored refs pending

Primely generated refinement monoids

E. Pardo, P. Ara

arxiv:1407.5406 v2 · 2014-07-21 · math.RA · math.CO · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q2CQUFNUEGFJS3O3NYWVLT3SWB}

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	2026-05-18T02:03:45.310483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86850a15b4218a996ddb6e2d55cf72b065cfa0c069c03589717fc0891045698c

Aliases

arxiv: 1407.5406 · arxiv_version: 1407.5406v2 · doi: 10.48550/arxiv.1407.5406 · pith_short_12: Q2CQUFNUEGFJ · pith_short_16: Q2CQUFNUEGFJS3O3 · pith_short_8: Q2CQUFNU

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/Q2CQUFNUEGFJS3O3NYWVLT3SWB \
  | 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: 86850a15b4218a996ddb6e2d55cf72b065cfa0c069c03589717fc0891045698c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a979c24af755d3018a5bcdfa5b5670fb3946da13f38cfe2a6d7426e6db9d75f",
    "cross_cats_sorted": [
      "math.CO",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-07-21T08:07:59Z",
    "title_canon_sha256": "c6ab3d381a2688d8b257e51908d517e4afb2b6979b082274441ff11eab108b82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5406",
    "kind": "arxiv",
    "version": 2
  }
}