Pith Number

pith:YYMA6FPJ

pith:2012:YYMA6FPJ3Z77FE3T356HRXECWH

not attested not anchored not stored refs pending

p-adic Hodge-theoretic properties of \'etale cohomology with mod p coefficients, and the cohomology of Shimura varieties

Matthew Emerton, Toby Gee

arxiv:1203.4963 v4 · 2012-03-22 · 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{YYMA6FPJ3Z77FE3T356HRXECWH}

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	2026-05-18T01:22:26.774178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6180f15e9de7ff29373df7c78dc82b1e4747e6fcd2494a8acbfa8d6dc13c65c

Aliases

arxiv: 1203.4963 · arxiv_version: 1203.4963v4 · doi: 10.48550/arxiv.1203.4963 · pith_short_12: YYMA6FPJ3Z77 · pith_short_16: YYMA6FPJ3Z77FE3T · pith_short_8: YYMA6FPJ

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/YYMA6FPJ3Z77FE3T356HRXECWH \
  | 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: c6180f15e9de7ff29373df7c78dc82b1e4747e6fcd2494a8acbfa8d6dc13c65c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6bb6e70ab5d2ef35d9a87d19da9b4a614904fa5541a30a23fcd827eaa234714",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-03-22T11:37:05Z",
    "title_canon_sha256": "5f278c283ec4b0a3a27382689abd32a1cded9070be652ea2e7432c2975eb236e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4963",
    "kind": "arxiv",
    "version": 4
  }
}