Pith Number

pith:Y3T22HVM

pith:2021:Y3T22HVMMWX6SMYSTZ7CJQFGTU

not attested not anchored not stored refs pending

Pluripotential theory for tropical toric varieties and non-archimedean Monge-Amp\'ere equations

Jos\'e Ignacio Burgos Gil, Klaus K\"unnemann, Philipp Jell, Walter Gubler

arxiv:2102.07392 v1 · 2021-02-15 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y3T22HVMMWX6SMYSTZ7CJQFGTU}

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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

Abstract divisorial spaces and arithmetic intersection numbers

Receipt and verification

First computed	2026-07-05T02:15:15.325638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6e7ad1eac65afe933129e7e24c0a69d107606bb162a88bf2c1a9401f216172a

Aliases

arxiv: 2102.07392 · arxiv_version: 2102.07392v1 · doi: 10.48550/arxiv.2102.07392 · pith_short_12: Y3T22HVMMWX6 · pith_short_16: Y3T22HVMMWX6SMYS · pith_short_8: Y3T22HVM

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/Y3T22HVMMWX6SMYSTZ7CJQFGTU \
  | 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: c6e7ad1eac65afe933129e7e24c0a69d107606bb162a88bf2c1a9401f216172a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "772b1e1ce5ac067da9014e6c97e40ba393c4c0640c67ee3e6b01608417e4d201",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-02-15T08:24:15Z",
    "title_canon_sha256": "d81cb6aec6f73be47d9c31aa085490e95e5d874cafadac3d9c69abd995649451"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.07392",
    "kind": "arxiv",
    "version": 1
  }
}