Pith Number

pith:3R77CGPB

pith:2015:3R77CGPBGNJ4LUXX27SWZGIBJQ

not attested not anchored not stored refs pending

Stringy invariants for horospherical varieties of complexity one

Cl\'elia Pech, Kevin Langlois, Michel Raibaut

arxiv:1511.03852 v2 · 2015-11-12 · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3R77CGPBGNJ4LUXX27SWZGIBJQ}

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	2026-05-17T23:51:00.653512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc7ff119e13353c5d2f7d7e56c99014c386afc1968731125af2a44be7bcf13cb

Aliases

arxiv: 1511.03852 · arxiv_version: 1511.03852v2 · doi: 10.48550/arxiv.1511.03852 · pith_short_12: 3R77CGPBGNJ4 · pith_short_16: 3R77CGPBGNJ4LUXX · pith_short_8: 3R77CGPB

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/3R77CGPBGNJ4LUXX27SWZGIBJQ \
  | 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: dc7ff119e13353c5d2f7d7e56c99014c386afc1968731125af2a44be7bcf13cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fc13dbb7b9f0cc8d340ec43496d9a2bb597d78480581c116a60c1dd2989d4a4",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-12T10:53:34Z",
    "title_canon_sha256": "88e47e5df7aed9471fa9e76de543b0542280ec5d2a042765b12e42ece4b57ebb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03852",
    "kind": "arxiv",
    "version": 2
  }
}