Pith Number

pith:LMN2YD7M

pith:2014:LMN2YD7M4R43HGEDYQINCRJA3C

not attested not anchored not stored refs pending

An upper bound for the volumes of complements of periodic geodesics

Lior Silberman, Maxime Bergeron, Tali Pinsky

arxiv:1412.2446 v2 · 2014-12-08 · 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{LMN2YD7M4R43HGEDYQINCRJA3C}

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	2026-05-18T01:15:15.328981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b1bac0fece479b39883c410d14520d883d102e81739ee399289e63d82ef3279

Aliases

arxiv: 1412.2446 · arxiv_version: 1412.2446v2 · doi: 10.48550/arxiv.1412.2446 · pith_short_12: LMN2YD7M4R43 · pith_short_16: LMN2YD7M4R43HGED · pith_short_8: LMN2YD7M

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/LMN2YD7M4R43HGEDYQINCRJA3C \
  | 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: 5b1bac0fece479b39883c410d14520d883d102e81739ee399289e63d82ef3279

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f92d0e50353d51305847f6959a9d60f469d0c474de59e280be59162424fa20c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-12-08T04:50:37Z",
    "title_canon_sha256": "aec8c785b6c98f915aaa957e74647ee2f1debec54a25b5fc0f35f0627620aecf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2446",
    "kind": "arxiv",
    "version": 2
  }
}