Pith Number

pith:IRPHJLNF

pith:2015:IRPHJLNFO55XVCRQ4AWOUOHTU5

not attested not anchored not stored refs pending

Cech cohomology over $\mathbb{F}_{1^2}$

Jaret Flores, Matt Szczesny, Oliver Lorscheid

arxiv:1511.06875 v1 · 2015-11-21 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IRPHJLNFO55XVCRQ4AWOUOHTU5}

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	2026-05-18T01:26:17.281360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

445e74ada5777b7a8a30e02cea38f3a7746d1ac2cc1f305a3288dc4fee82feff

Aliases

arxiv: 1511.06875 · arxiv_version: 1511.06875v1 · doi: 10.48550/arxiv.1511.06875 · pith_short_12: IRPHJLNFO55X · pith_short_16: IRPHJLNFO55XVCRQ · pith_short_8: IRPHJLNF

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/IRPHJLNFO55XVCRQ4AWOUOHTU5 \
  | 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: 445e74ada5777b7a8a30e02cea38f3a7746d1ac2cc1f305a3288dc4fee82feff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18e6c69d8fa37ebd4fc7d58dd9ee1b35d81c5c00cf2dfd8f91621293ad79d9b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-21T12:32:37Z",
    "title_canon_sha256": "4e2c14d8011249a45fddd2874db8d9bf85c2ba889a9e836edbdc029c669d8d9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06875",
    "kind": "arxiv",
    "version": 1
  }
}