Pith Number

pith:NEBAJSZL

pith:2013:NEBAJSZLYVSDKF77JNSIBAVACD

not attested not anchored not stored refs pending

Tropical eigenwave and intermediate Jacobians

Grigory Mikhalkin, Ilia Zharkov

arxiv:1302.0252 v2 · 2013-02-01 · 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{NEBAJSZLYVSDKF77JNSIBAVACD}

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	2026-05-18T03:11:21.784415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

690204cb2bc5643517ff4b648082a010d03687373f8beff74f707c28712e236f

Aliases

arxiv: 1302.0252 · arxiv_version: 1302.0252v2 · doi: 10.48550/arxiv.1302.0252 · pith_short_12: NEBAJSZLYVSD · pith_short_16: NEBAJSZLYVSDKF77 · pith_short_8: NEBAJSZL

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/NEBAJSZLYVSDKF77JNSIBAVACD \
  | 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: 690204cb2bc5643517ff4b648082a010d03687373f8beff74f707c28712e236f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a60e312a9abea542609c3d03cc3430b80bad9dbc289e2d0156644c14d72fe728",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-02-01T19:11:17Z",
    "title_canon_sha256": "31d08f1a46979f05840a566629c550b825ad08baef05f0a2231f8f094ee1cb4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0252",
    "kind": "arxiv",
    "version": 2
  }
}