Pith Number

pith:5FHUZQO4

pith:2011:5FHUZQO42EMYDGEM4QG2O2Z5RT

not attested not anchored not stored refs pending

Karoubi's relative Chern character, the rigid syntomic regulator, and the Bloch-Kato exponential map

Georg Tamme

arxiv:1111.4109 v4 · 2011-11-17 · math.AG · math.KT · 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{5FHUZQO42EMYDGEM4QG2O2Z5RT}

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	2026-05-18T02:44:48.002106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e94f4cc1dcd11981988ce40da76b3d8cc1dbd0fd71ebd4e1d4a5a7fd5e9e7dd9

Aliases

arxiv: 1111.4109 · arxiv_version: 1111.4109v4 · doi: 10.48550/arxiv.1111.4109 · pith_short_12: 5FHUZQO42EMY · pith_short_16: 5FHUZQO42EMYDGEM · pith_short_8: 5FHUZQO4

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/5FHUZQO42EMYDGEM4QG2O2Z5RT \
  | 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: e94f4cc1dcd11981988ce40da76b3d8cc1dbd0fd71ebd4e1d4a5a7fd5e9e7dd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3825f66ee5305528fcd07120e209bee9f5397ce1ff6add13688f223d17209858",
    "cross_cats_sorted": [
      "math.KT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-11-17T14:26:26Z",
    "title_canon_sha256": "f73433b180bdef3f2aeb1a373d4bab7c88d1e3764ee9001954109e53e7a2b9ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4109",
    "kind": "arxiv",
    "version": 4
  }
}