Pith Number

pith:TBC7V6QA

pith:2012:TBC7V6QAXB3W72ZLDBWYHYPFDG

not attested not anchored not stored refs pending

Laurent Polynomials, GKZ-hypergeometric Systems and Mixed Hodge Modules

Thomas Reichelt

arxiv:1209.3941 v2 · 2012-09-18 · 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{TBC7V6QAXB3W72ZLDBWYHYPFDG}

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	2026-05-17T23:53:18.462537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9845fafa00b8776feb2b186d83e1e519aa63c1c1ebf39eddc872aa067feffb03

Aliases

arxiv: 1209.3941 · arxiv_version: 1209.3941v2 · doi: 10.48550/arxiv.1209.3941 · pith_short_12: TBC7V6QAXB3W · pith_short_16: TBC7V6QAXB3W72ZL · pith_short_8: TBC7V6QA

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/TBC7V6QAXB3W72ZLDBWYHYPFDG \
  | 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: 9845fafa00b8776feb2b186d83e1e519aa63c1c1ebf39eddc872aa067feffb03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c423396d1641afdfefe31b43e6b71dcb583617ad68844e0297c9e8f4f1cabd0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-09-18T12:57:55Z",
    "title_canon_sha256": "7128ca3badaaf3618795b997532c8f0c899bc1c9de25cb97b7e4f053ffc586cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3941",
    "kind": "arxiv",
    "version": 2
  }
}