Pith Number

pith:23UPGD5C

pith:2013:23UPGD5C3WFMCQTC2WMOP4Z6IT

not attested not anchored not stored refs pending

Equations of tropical varieties

Jeffrey Giansiracusa, Noah Giansiracusa

arxiv:1308.0042 v3 · 2013-07-31 · 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{23UPGD5C3WFMCQTC2WMOP4Z6IT}

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	2026-05-18T00:50:23.716610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6e8f30fa2dd8ac14262d598e7f33e44ecbc50bb92a04e6f157bb14afedce989

Aliases

arxiv: 1308.0042 · arxiv_version: 1308.0042v3 · doi: 10.48550/arxiv.1308.0042 · pith_short_12: 23UPGD5C3WFM · pith_short_16: 23UPGD5C3WFMCQTC · pith_short_8: 23UPGD5C

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/23UPGD5C3WFMCQTC2WMOP4Z6IT \
  | 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: d6e8f30fa2dd8ac14262d598e7f33e44ecbc50bb92a04e6f157bb14afedce989

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4760894089deaf01242a118ce5dda3ddcd290506c95d104c8a508f17faa1a4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-31T21:35:50Z",
    "title_canon_sha256": "c4156e9980716c5ee5af1f2bb0cae5b52c58d403f86a4989da468aeacbfae210"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0042",
    "kind": "arxiv",
    "version": 3
  }
}