Pith Number

pith:NCM64VUC

pith:2025:NCM64VUC2QBLBPLK3D32RSHAI4

not attested not anchored not stored refs pending

From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes

Liheng Tang, Yu Qiu

arxiv:2501.15756 v3 · 2025-01-27 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NCM64VUC2QBLBPLK3D32RSHAI4}

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	2026-07-05T11:37:15.211628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6899ee5682d402b0bd6ad8f7a8c8e0471acbc9c6935f053dfb0e33ebf097a462

Aliases

arxiv: 2501.15756 · arxiv_version: 2501.15756v3 · doi: 10.48550/arxiv.2501.15756 · pith_short_12: NCM64VUC2QBL · pith_short_16: NCM64VUC2QBLBPLK · pith_short_8: NCM64VUC

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/NCM64VUC2QBLBPLK3D32RSHAI4 \
  | 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: 6899ee5682d402b0bd6ad8f7a8c8e0471acbc9c6935f053dfb0e33ebf097a462

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3189dacdae8c135ca35ddd088974ce1d8647594ca98822198b81db8edcb4b4e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-01-27T03:54:39Z",
    "title_canon_sha256": "e426f7b18951f7261e9bc142ef410ca44c010e5523234cc1975e159436aafc5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.15756",
    "kind": "arxiv",
    "version": 3
  }
}