Pith Number

pith:PUZ7TNW2

pith:2022:PUZ7TNW2X6VS5VDVT4NSWXLPDF

not attested not anchored not stored refs pending

Explicit Square Zero Obstruction Theory

Shaul Barkan

arxiv:2211.07034 v2 · 2022-11-13 · math.AT · math.AC · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PUZ7TNW2X6VS5VDVT4NSWXLPDF}

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	2026-07-05T06:04:01.988741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d33f9b6dabfab2ed4759f1b2b5d6f196faef6e4b302c27e319b722676b590df

Aliases

arxiv: 2211.07034 · arxiv_version: 2211.07034v2 · doi: 10.48550/arxiv.2211.07034 · pith_short_12: PUZ7TNW2X6VS · pith_short_16: PUZ7TNW2X6VS5VDV · pith_short_8: PUZ7TNW2

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/PUZ7TNW2X6VS5VDVT4NSWXLPDF \
  | 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: 7d33f9b6dabfab2ed4759f1b2b5d6f196faef6e4b302c27e319b722676b590df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1f03d05e6f928e04f33e79393614e71cb71bfc2aa3e9d179d9a01d4e4957c91",
    "cross_cats_sorted": [
      "math.AC",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2022-11-13T22:33:55Z",
    "title_canon_sha256": "cbb1879836408b62130fd2526311783e0e48f8427b4e92e83847e66ed7436738"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.07034",
    "kind": "arxiv",
    "version": 2
  }
}