Pith Number

pith:L4UGMGJK

pith:2014:L4UGMGJKQAZSHFTBJ2YHW4PHY2

not attested not anchored not stored refs pending

Faithful realizability of tropical curves

Jennifer Park, Lorenzo Fantini, Man-Wai Cheung, Martin Ulirsch

arxiv:1410.4152 v3 · 2014-10-15 · 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{L4UGMGJKQAZSHFTBJ2YHW4PHY2}

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	2026-05-18T00:50:40.656685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f2866192a80332396614eb07b71e7c68e7d17aef850fc587e6bb3d40e8237db

Aliases

arxiv: 1410.4152 · arxiv_version: 1410.4152v3 · doi: 10.48550/arxiv.1410.4152 · pith_short_12: L4UGMGJKQAZS · pith_short_16: L4UGMGJKQAZSHFTB · pith_short_8: L4UGMGJK

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/L4UGMGJKQAZSHFTBJ2YHW4PHY2 \
  | 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: 5f2866192a80332396614eb07b71e7c68e7d17aef850fc587e6bb3d40e8237db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aee084e9d1190071548ba62a7d2c0016be9b5100a4bb54f159999cbeb662896d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-10-15T18:14:18Z",
    "title_canon_sha256": "c895911d6c7d9ad17cb47dfadea6cb77046786fbffac268f90124bba8a1b4260"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.4152",
    "kind": "arxiv",
    "version": 3
  }
}