Pith Number

pith:UC37Y74E

pith:2009:UC37Y74ETRQAH4LA26PWWMLF2V

not attested not anchored not stored refs pending

An isoperimetric constant associated to horizons in $S^3$ blown-up at two points

Emmanuel Humbert, Mattias Dahl

arxiv:0911.0061 v1 · 2009-10-31 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UC37Y74ETRQAH4LA26PWWMLF2V}

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	2026-05-18T04:17:25.206896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0b7fc7f849c6003f160d79f6b3165d55b350601b5ec82bfa3dfcd47cf8199d6

Aliases

arxiv: 0911.0061 · arxiv_version: 0911.0061v1 · doi: 10.48550/arxiv.0911.0061 · pith_short_12: UC37Y74ETRQA · pith_short_16: UC37Y74ETRQAH4LA · pith_short_8: UC37Y74E

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/UC37Y74ETRQAH4LA26PWWMLF2V \
  | 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: a0b7fc7f849c6003f160d79f6b3165d55b350601b5ec82bfa3dfcd47cf8199d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4652c0340955efcd0c549e921d52b60c72dc85cd6b6b6fe7557af5f623ef86c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-10-31T09:18:25Z",
    "title_canon_sha256": "36552a33388dd5439be044157a25b37619f26b50e2aa22919fe4b9ef921e868c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0061",
    "kind": "arxiv",
    "version": 1
  }
}