Pith Number

pith:OAEZC2UB

pith:2011:OAEZC2UBOR4OOR3S27PKS4PSXI

not attested not anchored not stored refs pending

Tropicalization method in cluster algebras

Tomoki Nakanishi

arxiv:1110.5472 v2 · 2011-10-25 · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OAEZC2UBOR4OOR3S27PKS4PSXI}

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	2026-05-18T03:42:22.525527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7009916a817478e74772d7dea971f2ba321e79beb16bf7871826ababe86d50bb

Aliases

arxiv: 1110.5472 · arxiv_version: 1110.5472v2 · doi: 10.48550/arxiv.1110.5472 · pith_short_12: OAEZC2UBOR4O · pith_short_16: OAEZC2UBOR4OOR3S · pith_short_8: OAEZC2UB

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/OAEZC2UBOR4OOR3S27PKS4PSXI \
  | 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: 7009916a817478e74772d7dea971f2ba321e79beb16bf7871826ababe86d50bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00e9cf970b4092b0b369d0c3fd04ec0d15c79452597f1dcb6cc5d38a869f3316",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-10-25T11:35:05Z",
    "title_canon_sha256": "b692a9edc2fa178ed49c04ad0795211493f23ce2691f9f7340a8e7ebf21cce2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5472",
    "kind": "arxiv",
    "version": 2
  }
}