Pith Number

pith:5TETNNL7

pith:2012:5TETNNL7RYKKEF5YVLOLCNFKFO

not attested not anchored not stored refs pending

Introduction to tropical algebraic geometry

Diane Maclagan

arxiv:1207.1925 v1 · 2012-07-08 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5TETNNL7RYKKEF5YVLOLCNFKFO}

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.

Cited by

1 paper in Pith

Functoriality of logarithmic Hochschild homology of log smooth pairs

Receipt and verification

First computed	2026-05-18T03:51:26.602300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecc936b57f8e14a217b8aadcb134aa2b8e65e7aa4b541bcf5793bbe6a4b6bdb7

Aliases

arxiv: 1207.1925 · arxiv_version: 1207.1925v1 · doi: 10.48550/arxiv.1207.1925 · pith_short_12: 5TETNNL7RYKK · pith_short_16: 5TETNNL7RYKKEF5Y · pith_short_8: 5TETNNL7

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/5TETNNL7RYKKEF5YVLOLCNFKFO \
  | 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: ecc936b57f8e14a217b8aadcb134aa2b8e65e7aa4b541bcf5793bbe6a4b6bdb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fad81219dd80c7266627c7696b04e9e9b438648d1092545ab68fde9e44c0152",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-07-08T23:53:03Z",
    "title_canon_sha256": "7ca12f6f04fd820ed5ed9e83250a77b04e40c27c5dfb3545fbe9e3ebdbdf5a00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1925",
    "kind": "arxiv",
    "version": 1
  }
}