Pith Number

pith:PLPL3DTD

pith:2025:PLPL3DTDLSC5PLHAUBH67T6A2S

not attested not anchored not stored refs pending

Ordering curves on surfaces

Binbin Xu, Hanh Vo, Hugo Parlier

arxiv:2506.06481 v1 · 2025-06-06 · 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{PLPL3DTDLSC5PLHAUBH67T6A2S}

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

Oriented graphs on curve complex I: hyperbolic and extremal length

Receipt and verification

First computed	2026-07-05T11:17:50.924518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7adebd8e635c85d7ace0a04fefcfc0d4a71a5b36f2f30b5d55d40b33c16cdeb4

Aliases

arxiv: 2506.06481 · arxiv_version: 2506.06481v1 · doi: 10.48550/arxiv.2506.06481 · pith_short_12: PLPL3DTDLSC5 · pith_short_16: PLPL3DTDLSC5PLHA · pith_short_8: PLPL3DTD

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/PLPL3DTDLSC5PLHAUBH67T6A2S \
  | 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: 7adebd8e635c85d7ace0a04fefcfc0d4a71a5b36f2f30b5d55d40b33c16cdeb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "508855e713ec545c625f786da837278d5b7529c8ac8af3590447df7b7b437b1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-06-06T19:08:33Z",
    "title_canon_sha256": "fbbe78a0fd4066d8ce73311a126c5211baeef98e5cf418b60f5634ba4afed0d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.06481",
    "kind": "arxiv",
    "version": 1
  }
}