Pith Number

pith:HNOYJNSX

pith:2013:HNOYJNSX4OWG7QSOUEVD42KMC4

not attested not anchored not stored refs pending

Push-pull operators on the formal affine Demazure algebra and its dual

Baptiste Calm\`es, Changlong Zhong, Kirill Zainoulline

arxiv:1312.0019 v2 · 2013-11-29 · 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{HNOYJNSX4OWG7QSOUEVD42KMC4}

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	2026-05-18T02:41:58.276035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b5d84b657e3ac6fc24ea12a3e694c170436ed0f9f9befab177ba526d064691a

Aliases

arxiv: 1312.0019 · arxiv_version: 1312.0019v2 · doi: 10.48550/arxiv.1312.0019 · pith_short_12: HNOYJNSX4OWG · pith_short_16: HNOYJNSX4OWG7QSO · pith_short_8: HNOYJNSX

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/HNOYJNSX4OWG7QSOUEVD42KMC4 \
  | 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: 3b5d84b657e3ac6fc24ea12a3e694c170436ed0f9f9befab177ba526d064691a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "135b19dd49b53487bf68b15706fd4d1406ed025f356b17472c73bc9ac9b9fd39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-11-29T21:09:55Z",
    "title_canon_sha256": "97bcc9330939a98984a17922ca703d1b0bd30aa3336a1985123e268a8b365626"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0019",
    "kind": "arxiv",
    "version": 2
  }
}