Pith Number

pith:32P34QCY

pith:2026:32P34QCYPRXQXXD6VQYZCYYFWZ

not attested not anchored not stored refs pending

Many-point tropical relaxation and the Monge--Amp\`ere equation

Ernesto Lupercio, Higinio Serrano, Mikhail Shkolnikov, Nikita Kalinin

arxiv:2607.25878 v1 · 2026-07-28 · math.AP · math.AG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32P34QCYPRXQXXD6VQYZCYYFWZ}

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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

Symmetry Emergence in Self-Organized Criticality

Receipt and verification

First computed	2026-07-29T01:26:08.273153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de9fbe40587c6f0bdc7eac31916305b6567b0adcc15472eca68669bc24897f7e

Aliases

arxiv: 2607.25878 · arxiv_version: 2607.25878v1 · doi: 10.48550/arxiv.2607.25878 · pith_short_12: 32P34QCYPRXQ · pith_short_16: 32P34QCYPRXQXXD6 · pith_short_8: 32P34QCY

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/32P34QCYPRXQXXD6VQYZCYYFWZ \
  | 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: de9fbe40587c6f0bdc7eac31916305b6567b0adcc15472eca68669bc24897f7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d41076a873d1ccd1b7f1098272c957a711b0725cc88e39260fe7fb70f1686ca7",
    "cross_cats_sorted": [
      "math.AG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-28T15:40:19Z",
    "title_canon_sha256": "4d49131d26946bfdf4635969a50568c9e41801596c7d6e31ee449baae7f364c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25878",
    "kind": "arxiv",
    "version": 1
  }
}