Pith Number

pith:PWR7ZGYY

pith:2026:PWR7ZGYYHTPXWZZ6O6BZ5ZVUNC

not attested not anchored not stored refs pending

Weakly Ding injective complexes

Alina Iacob, James Gillespie

arxiv:2606.13164 v1 · 2026-06-11 · 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{PWR7ZGYYHTPXWZZ6O6BZ5ZVUNC}

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	2026-06-12T01:09:44.189437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7da3fc9b183cdf7b673e77839ee6b468bd325051498ae044b0f33aab30133a24

Aliases

arxiv: 2606.13164 · arxiv_version: 2606.13164v1 · doi: 10.48550/arxiv.2606.13164 · pith_short_12: PWR7ZGYYHTPX · pith_short_16: PWR7ZGYYHTPXWZZ6 · pith_short_8: PWR7ZGYY

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/PWR7ZGYYHTPXWZZ6O6BZ5ZVUNC \
  | 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: 7da3fc9b183cdf7b673e77839ee6b468bd325051498ae044b0f33aab30133a24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e4173850afb241f834f3efd3c20d14e26d7f843a5e1a760bde3e39d8948f92a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-06-11T10:30:03Z",
    "title_canon_sha256": "647c4553b62ea969789929731fe0b835781946fd9b6f698dfe1329cd41c3d32a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13164",
    "kind": "arxiv",
    "version": 1
  }
}