Pith Number

pith:VMUSAEBV

pith:2012:VMUSAEBVRB5YDYXLMBIIPFDUDT

not attested not anchored not stored refs pending

Monads of regular theories

Marek Zawadowski, Stanis{\l}aw Szawiel

arxiv:1207.0121 v1 · 2012-06-30 · 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{VMUSAEBVRB5YDYXLMBIIPFDUDT}

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	2026-05-18T01:09:28.494504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab29201035887b81e2eb60508794741cc2610ae88dac90769b33580da10b87d6

Aliases

arxiv: 1207.0121 · arxiv_version: 1207.0121v1 · doi: 10.48550/arxiv.1207.0121 · pith_short_12: VMUSAEBVRB5Y · pith_short_16: VMUSAEBVRB5YDYXL · pith_short_8: VMUSAEBV

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/VMUSAEBVRB5YDYXLMBIIPFDUDT \
  | 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: ab29201035887b81e2eb60508794741cc2610ae88dac90769b33580da10b87d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcdf9991563527793abf736be724ccf7582a5d1dd34519b42e0c3edf779374e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2012-06-30T18:02:56Z",
    "title_canon_sha256": "4f522c283db95e20fd3c03da02d9bb24c0915922cfd4ce797e58a8631af5e54b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0121",
    "kind": "arxiv",
    "version": 1
  }
}