Pith Number

pith:YUNXX4EI

pith:2013:YUNXX4EINRUGNLUMP3KT6ETTFG

not attested not anchored not stored refs pending

Cohomology of congruence schemes

Anton Deitmar

arxiv:1307.6014 v1 · 2013-07-23 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YUNXX4EINRUGNLUMP3KT6ETTFG}

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	2026-05-18T03:17:45.552910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c51b7bf0886c6866ae8c7ed53f1273298d7d1bae74d344f0df6a8d6f68f52002

Aliases

arxiv: 1307.6014 · arxiv_version: 1307.6014v1 · doi: 10.48550/arxiv.1307.6014 · pith_short_12: YUNXX4EINRUG · pith_short_16: YUNXX4EINRUGNLUM · pith_short_8: YUNXX4EI

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/YUNXX4EINRUGNLUMP3KT6ETTFG \
  | 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: c51b7bf0886c6866ae8c7ed53f1273298d7d1bae74d344f0df6a8d6f68f52002

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32ba16c6d2128a4f17cd3e4dc55eb127b1db05b41c6a52e08b6af28e8a76d346",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-23T10:29:56Z",
    "title_canon_sha256": "6fa698dccf68d655e0e8cddb2b12deb1940a2ae5acd367d2befee9451855c64b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6014",
    "kind": "arxiv",
    "version": 1
  }
}