Pith Number

pith:FAVYICIO

pith:2010:FAVYICIO2JTOOHOM43UXRCN67J

not attested not anchored not stored refs pending

Level raising and completed cohomology

James Newton

arxiv:1008.1487 v2 · 2010-08-09 · 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{FAVYICIO2JTOOHOM43UXRCN67J}

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	2026-05-18T04:18:53.292273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

282b84090ed266e71dcce6e97889befa5e47623e627736703bcf60f767ff4ecd

Aliases

arxiv: 1008.1487 · arxiv_version: 1008.1487v2 · doi: 10.48550/arxiv.1008.1487 · pith_short_12: FAVYICIO2JTO · pith_short_16: FAVYICIO2JTOOHOM · pith_short_8: FAVYICIO

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/FAVYICIO2JTOOHOM43UXRCN67J \
  | 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: 282b84090ed266e71dcce6e97889befa5e47623e627736703bcf60f767ff4ecd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "505685db742ac2f144e917f77a0bcd1f92edb9fc066548a44b1ce2e545d7364e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-08-09T11:50:10Z",
    "title_canon_sha256": "d1c4b25cbf1cfaa157c10de89a33e1dae47b9aeb7f448896124966dd88d5f5e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1487",
    "kind": "arxiv",
    "version": 2
  }
}