Pith Number

pith:B2MTUR6E

pith:2025:B2MTUR6EZS2YGLYMHLATSE6FXM

not attested not anchored not stored refs pending

Minimal surface entropy and applications of Ricci flow on finite-volume hyperbolic 3-manifolds

Franco Vargas Pallete, Ruojing Jiang

arxiv:2509.00197 v1 · 2025-08-29 · math.DG · math.DS · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B2MTUR6EZS2YGLYMHLATSE6FXM}

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.

Cited by

1 paper in Pith

Volume comparison on finite-volume hyperbolic 3-manifolds

Receipt and verification

First computed	2026-07-05T12:02:11.107336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e993a47c4ccb5832f0c3ac13913c5bb33e922abc2579ba89ae39abaa7822dbe

Aliases

arxiv: 2509.00197 · arxiv_version: 2509.00197v1 · doi: 10.48550/arxiv.2509.00197 · pith_short_12: B2MTUR6EZS2Y · pith_short_16: B2MTUR6EZS2YGLYM · pith_short_8: B2MTUR6E

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/B2MTUR6EZS2YGLYMHLATSE6FXM \
  | 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: 0e993a47c4ccb5832f0c3ac13913c5bb33e922abc2579ba89ae39abaa7822dbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0019bbcef78f2e3aefe316e6b50f151284b245cd102811ef53c56e58e2fdf8bb",
    "cross_cats_sorted": [
      "math.DS",
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-08-29T19:14:02Z",
    "title_canon_sha256": "6d1b2954153fc83797d20aff6d807943327a91b5fcb08b592ec425d0d032982b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.00197",
    "kind": "arxiv",
    "version": 1
  }
}