Pith Number

pith:AGEU4IQO

pith:2013:AGEU4IQO2KFVWXQPKDC2RJQPTS

not attested not anchored not stored refs pending

Plane mixed discriminants and toric jacobians

Alicia Dickenstein, Anna Karasoulou, Ioannis Emiris

arxiv:1304.5809 v1 · 2013-04-21 · math.AG · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AGEU4IQO2KFVWXQPKDC2RJQPTS}

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	2026-05-18T03:27:24.054653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01894e220ed28b5b5e0f50c5a8a60f9c873b44c843d846c6aee0e66251e02560

Aliases

arxiv: 1304.5809 · arxiv_version: 1304.5809v1 · doi: 10.48550/arxiv.1304.5809 · pith_short_12: AGEU4IQO2KFV · pith_short_16: AGEU4IQO2KFVWXQP · pith_short_8: AGEU4IQO

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/AGEU4IQO2KFVWXQPKDC2RJQPTS \
  | 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: 01894e220ed28b5b5e0f50c5a8a60f9c873b44c843d846c6aee0e66251e02560

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "477a90da13e6d2dabd39057606a065af038c1b178df46c5c7d3ed94187b0a677",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-04-21T22:48:15Z",
    "title_canon_sha256": "d8da8410521713227589ec105196cc12ce2ea07b7abd9536b386b6934038025f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5809",
    "kind": "arxiv",
    "version": 1
  }
}