Pith Number

pith:UH5CCF56

pith:2026:UH5CCF56A6AUO5FMSJ5LCZN5YF

not attested not anchored not stored refs pending

On near atomicity and a characterization of the FF property

Felix Gotti, Jonathan Du, Leo Hong

arxiv:2606.25227 v1 · 2026-06-23 · 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{UH5CCF56A6AUO5FMSJ5LCZN5YF}

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	2026-06-25T00:18:21.493745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1fa2117be07814774ac927ab165bdc165d9eee64d5dcef922380c0dec0a1ad4

Aliases

arxiv: 2606.25227 · arxiv_version: 2606.25227v1 · doi: 10.48550/arxiv.2606.25227 · pith_short_12: UH5CCF56A6AU · pith_short_16: UH5CCF56A6AUO5FM · pith_short_8: UH5CCF56

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/UH5CCF56A6AUO5FMSJ5LCZN5YF \
  | 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: a1fa2117be07814774ac927ab165bdc165d9eee64d5dcef922380c0dec0a1ad4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e48099b2a6260d0f6573737aa6f743572ed226dd6e5fd21aff930b404ed8b743",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-06-23T23:08:04Z",
    "title_canon_sha256": "5daf05b711675e4601cdbaa9addd110ef34c1db680b13056732fd30a653b4fc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25227",
    "kind": "arxiv",
    "version": 1
  }
}