Pith Number

pith:VTRES4S6

pith:2019:VTRES4S6PJVC4NKE3X5Y3D4QWW

not attested not anchored not stored refs pending

Mod\`eles g\'eom\'etriques attach\'es aux paires r\'eductives

Julien Grivaux

arxiv:1906.02347 v1 · 2019-06-05 · 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{VTRES4S6PJVC4NKE3X5Y3D4QWW}

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	2026-05-17T23:44:01.525961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ace249725e7a6a2e3544ddfb8d8f90b5a9f15d9cd4f1812ced27590281aaae0f

Aliases

arxiv: 1906.02347 · arxiv_version: 1906.02347v1 · doi: 10.48550/arxiv.1906.02347 · pith_short_12: VTRES4S6PJVC · pith_short_16: VTRES4S6PJVC4NKE · pith_short_8: VTRES4S6

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/VTRES4S6PJVC4NKE3X5Y3D4QWW \
  | 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: ace249725e7a6a2e3544ddfb8d8f90b5a9f15d9cd4f1812ced27590281aaae0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93cfe1bed10895bcb35f07c4037f9ce1c4adf2623bfc98d1b6b96c941c982508",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-06-05T22:44:57Z",
    "title_canon_sha256": "dec74f1102e1f84d694d10adf655e6ebdd2ef5d760b4d44651905bf8b64c0609"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.02347",
    "kind": "arxiv",
    "version": 1
  }
}