Pith Number

pith:6REO2P7I

pith:2012:6REO2P7IDYVOAPCSYE65I64MHP

not attested not anchored not stored refs pending

A coproduct structure on the formal affine Demazure algebra

Baptiste Calm\`es, Changlong Zhong, Kirill Zainoulline

arxiv:1209.1676 v3 · 2012-09-08 · math.RA · 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{6REO2P7IDYVOAPCSYE65I64MHP}

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	2026-05-18T00:31:45.614561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f448ed3fe81e2ae03c52c13dd47b8c3bf06e3d45cc517d8a325a9fdbc882f765

Aliases

arxiv: 1209.1676 · arxiv_version: 1209.1676v3 · doi: 10.48550/arxiv.1209.1676 · pith_short_12: 6REO2P7IDYVO · pith_short_16: 6REO2P7IDYVOAPCS · pith_short_8: 6REO2P7I

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/6REO2P7IDYVOAPCSYE65I64MHP \
  | 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: f448ed3fe81e2ae03c52c13dd47b8c3bf06e3d45cc517d8a325a9fdbc882f765

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b4ddc598f04c348b359295b7decbe71098a8d5f78435119fa0a4fb460d2e3cd",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-09-08T01:01:50Z",
    "title_canon_sha256": "15f3b254bf63fcbcc400080710dcd7c5c981769e434e4ae5ebaad80af708e1cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1676",
    "kind": "arxiv",
    "version": 3
  }
}