Pith Number

pith:HNBHOEJY

pith:2012:HNBHOEJYYQXRZX5IBHG2WHIDIN

not attested not anchored not stored refs pending

R\'eflexions dans un cristal

Joel Kamnitzer, Pierre Baumann, St\'ephane Gaussent

arxiv:1210.6464 v1 · 2012-10-24 · math.RT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HNBHOEJYYQXRZX5IBHG2WHIDIN}

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	2026-05-18T03:42:24.765746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b42771138c42f1cdfa809cdab1d03436ef4d6adc3ccbedbcc020c715c97b13a

Aliases

arxiv: 1210.6464 · arxiv_version: 1210.6464v1 · doi: 10.48550/arxiv.1210.6464 · pith_short_12: HNBHOEJYYQXR · pith_short_16: HNBHOEJYYQXRZX5I · pith_short_8: HNBHOEJY

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/HNBHOEJYYQXRZX5IBHG2WHIDIN \
  | 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: 3b42771138c42f1cdfa809cdab1d03436ef4d6adc3ccbedbcc020c715c97b13a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cec6d1d27c3950a0153d93dbd3d649748e95fb2f0e7699b00e87d07916c72b72",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-10-24T09:04:20Z",
    "title_canon_sha256": "a6941551814a4a8c59f31667109063f273a7af2811cdc934f67a91d0ea3cff3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6464",
    "kind": "arxiv",
    "version": 1
  }
}