Pith Number

pith:4AQSY5K7

pith:2015:4AQSY5K76A3OSBUBDSDT5RUJXW

not attested not anchored not stored refs pending

Coherence conditions in flat regular pullbacks

Jason Boynton, Sean Sather-Wagstaff

arxiv:1506.05389 v1 · 2015-06-17 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4AQSY5K76A3OSBUBDSDT5RUJXW}

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	2026-05-18T01:46:12.397574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0212c755ff036e906811c873ec689bd985ef55e4de1400e10c79c1ddbee2993

Aliases

arxiv: 1506.05389 · arxiv_version: 1506.05389v1 · doi: 10.48550/arxiv.1506.05389 · pith_short_12: 4AQSY5K76A3O · pith_short_16: 4AQSY5K76A3OSBUB · pith_short_8: 4AQSY5K7

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/4AQSY5K76A3OSBUBDSDT5RUJXW \
  | 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: e0212c755ff036e906811c873ec689bd985ef55e4de1400e10c79c1ddbee2993

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "561515f389d4f76dbf1442a1179f87b98b5f231cc6282e8c15aa65b42b6ad839",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-06-17T17:37:35Z",
    "title_canon_sha256": "6cb60799640dd1c75943b8e1e983c545e0406cdef1b4ee32085baac41a7c44a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05389",
    "kind": "arxiv",
    "version": 1
  }
}