Pith Number

pith:ESGZT2ZD

pith:2013:ESGZT2ZDIKASH3TKGICFBB436R

not attested not anchored not stored refs pending

Degenerations of real irrational toric varieties

Elisa Postinghel, Frank Sottile, Nelly Villamizar

arxiv:1312.3834 v2 · 2013-12-13 · 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{ESGZT2ZDIKASH3TKGICFBB436R}

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	2026-05-18T00:44:29.259981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

248d99eb23428123ee6a320450879bf453a749973feea735a01e066bb076e2fa

Aliases

arxiv: 1312.3834 · arxiv_version: 1312.3834v2 · doi: 10.48550/arxiv.1312.3834 · pith_short_12: ESGZT2ZDIKAS · pith_short_16: ESGZT2ZDIKASH3TK · pith_short_8: ESGZT2ZD

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/ESGZT2ZDIKASH3TKGICFBB436R \
  | 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: 248d99eb23428123ee6a320450879bf453a749973feea735a01e066bb076e2fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9198893d70725e1458ef605e65b1c5638f9e1648dbb7ac66efe40d8f74c9818",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-12-13T15:13:35Z",
    "title_canon_sha256": "27fe5254ff5fd7094c826978b5e70c1643d6fc101463e273770f02b49ac3a400"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3834",
    "kind": "arxiv",
    "version": 2
  }
}