Pith Number

pith:FEPPOF2K

pith:2026:FEPPOF2KZSV7KNEE6ZGKNAZ64G

not attested not anchored not stored refs pending

Algebraic coherators, controlled theories, and Grothendieck realizations

Johnathon Taylor

arxiv:2607.28540 v1 · 2026-07-30 · 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{FEPPOF2KZSV7KNEE6ZGKNAZ64G}

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	2026-07-31T01:38:29.956044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

291ef7174accabf53484f64ca6833ee18cef3853c41f279d503850e6af47038c

Aliases

arxiv: 2607.28540 · arxiv_version: 2607.28540v1 · doi: 10.48550/arxiv.2607.28540 · pith_short_12: FEPPOF2KZSV7 · pith_short_16: FEPPOF2KZSV7KNEE · pith_short_8: FEPPOF2K

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/FEPPOF2KZSV7KNEE6ZGKNAZ64G \
  | 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: 291ef7174accabf53484f64ca6833ee18cef3853c41f279d503850e6af47038c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b70f0ae8e2aaf2b65a5666a3e7215a39a8974a5f405e6611327135814afe3789",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2026-07-30T17:10:11Z",
    "title_canon_sha256": "94f64f5dc7e35ed9ef666b57d9a50bc19741cea3fe3eb25831bed86b2738b254"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28540",
    "kind": "arxiv",
    "version": 1
  }
}