Pith Number

pith:S3SCJXXG

pith:2015:S3SCJXXGLZ6RWIYC5SA44V2VRS

not attested not anchored not stored refs pending

A unifying approach to tropicalization

Oliver Lorscheid

arxiv:1508.07949 v4 · 2015-08-31 · 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{S3SCJXXGLZ6RWIYC5SA44V2VRS}

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

The Fundamental theorem of tropical differential algebra over nontrivially valued fields and the radius of convergence of nonarchimedean differential equations

Receipt and verification

First computed	2026-07-05T04:28:24.546014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96e424dee65e7d1b2302ec81ce57558c96f5f82b7d3fb41f45093826c689638a

Aliases

arxiv: 1508.07949 · arxiv_version: 1508.07949v4 · doi: 10.48550/arxiv.1508.07949 · pith_short_12: S3SCJXXGLZ6R · pith_short_16: S3SCJXXGLZ6RWIYC · pith_short_8: S3SCJXXG

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/S3SCJXXGLZ6RWIYC5SA44V2VRS \
  | 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: 96e424dee65e7d1b2302ec81ce57558c96f5f82b7d3fb41f45093826c689638a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "792914e003bde76ff9f333e5a66979d1d576e1839eda551c6f8188f3241c6c13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-08-31T18:32:03Z",
    "title_canon_sha256": "49b2e51964a35bf2b48a2c0b4bdbc1476c445b0a81222a590b897fc90e24c053"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07949",
    "kind": "arxiv",
    "version": 4
  }
}