Pith Number

pith:4HTECONH

pith:2012:4HTECONHIBMIXU2QCREQ645PBW

not attested not anchored not stored refs pending

The formalism of Grothendieck's six operations in p-adic cohomologies

Daniel Caro

arxiv:1209.4020 v2 · 2012-09-18 · 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{4HTECONHIBMIXU2QCREQ645PBW}

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	2026-05-18T03:44:02.065678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1e64139a740588bd35014490f73af0dbe8425ce9dba0f5f15c4858c9616f333

Aliases

arxiv: 1209.4020 · arxiv_version: 1209.4020v2 · doi: 10.48550/arxiv.1209.4020 · pith_short_12: 4HTECONHIBMI · pith_short_16: 4HTECONHIBMIXU2Q · pith_short_8: 4HTECONH

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/4HTECONHIBMIXU2QCREQ645PBW \
  | 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: e1e64139a740588bd35014490f73af0dbe8425ce9dba0f5f15c4858c9616f333

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f1fe068d675d0fea7c2d83ddb554478d572bf73547de2478805bf9418e345a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-09-18T16:34:18Z",
    "title_canon_sha256": "8ba59a35569b39fcd63cfe6d05ecd89e969a094b3c110c80a09eea06fe8929ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4020",
    "kind": "arxiv",
    "version": 2
  }
}