Pith Number

pith:L3GTKMCU

pith:2016:L3GTKMCUKUAB5GHXSVZI6OXCA4

not attested not anchored not stored refs pending

Effective faithful tropicalizations associated to linear systems on curves

Kazuhiko Yamaki, Shu Kawaguchi

arxiv:1612.01098 v3 · 2016-12-04 · 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{L3GTKMCUKUAB5GHXSVZI6OXCA4}

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	2026-05-18T00:46:55.297061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ecd35305455001e98f795728f3ae2073602cac343e4ac0774d6402d5a9969bd

Aliases

arxiv: 1612.01098 · arxiv_version: 1612.01098v3 · doi: 10.48550/arxiv.1612.01098 · pith_short_12: L3GTKMCUKUAB · pith_short_16: L3GTKMCUKUAB5GHX · pith_short_8: L3GTKMCU

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/L3GTKMCUKUAB5GHXSVZI6OXCA4 \
  | 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: 5ecd35305455001e98f795728f3ae2073602cac343e4ac0774d6402d5a9969bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc6a032f3e270f6f9b7d83a06b781dea61ee9b6bf83dca50648ee35c57412efc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-12-04T11:04:18Z",
    "title_canon_sha256": "91a9b89c2ed051818b434d31762e3982b47b0d78594254237edaa6f3bbd89aee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01098",
    "kind": "arxiv",
    "version": 3
  }
}