Pith Number

pith:WA6JQ4WB

pith:2024:WA6JQ4WBHMRSY4HHW42WY3EWE4

not attested not anchored not stored refs pending

Rigidity of the hyperbolic marked energy spectrum and entropy for $k$-surfaces

Ben Lowe, Graham Smith, S\'ebastien Alvarez

arxiv:2412.14389 v2 · 2024-12-18 · math.DG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WA6JQ4WBHMRSY4HHW42WY3EWE4}

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

Foliated Plateau problems, geometric rigidity and equidistribution of closed $k$-surfaces

Receipt and verification

First computed	2026-07-05T11:53:43.281334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b03c9872c13b232c70e7b7356c6c96270852922d49e830bca4aaa0e7a128c5f5

Aliases

arxiv: 2412.14389 · arxiv_version: 2412.14389v2 · doi: 10.48550/arxiv.2412.14389 · pith_short_12: WA6JQ4WBHMRS · pith_short_16: WA6JQ4WBHMRSY4HH · pith_short_8: WA6JQ4WB

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/WA6JQ4WBHMRSY4HHW42WY3EWE4 \
  | 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: b03c9872c13b232c70e7b7356c6c96270852922d49e830bca4aaa0e7a128c5f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11a636ea05ed7321df1dc1ce755c9a2d3daf7373abc9fa5072d53cd8545069d8",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-12-18T22:47:50Z",
    "title_canon_sha256": "9c128483180129fa0916f5565128936d0b0803b4e65686d52458f92144823445"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.14389",
    "kind": "arxiv",
    "version": 2
  }
}