Pith Number

pith:VZMUPLJF

pith:2011:VZMUPLJFZBEWKM5UDLKS376PDP

not attested not anchored not stored refs pending

Contact geometry and isosystolic inequalities

Florent Balacheff, Juan-Carlos Alvarez Paiva

arxiv:1109.4253 v2 · 2011-09-20 · math.SG · 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{VZMUPLJFZBEWKM5UDLKS376PDP}

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	2026-05-18T02:41:18.996071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae5947ad25c8496533b41ad52dffcf1bceceda007890072c039c54afe9411ade

Aliases

arxiv: 1109.4253 · arxiv_version: 1109.4253v2 · doi: 10.48550/arxiv.1109.4253 · pith_short_12: VZMUPLJFZBEW · pith_short_16: VZMUPLJFZBEWKM5U · pith_short_8: VZMUPLJF

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/VZMUPLJFZBEWKM5UDLKS376PDP \
  | 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: ae5947ad25c8496533b41ad52dffcf1bceceda007890072c039c54afe9411ade

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e90836ee0ed95e89ab895baf0f334be0f447b67d17c5bbeda7d68926dc350bd6",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-09-20T09:26:56Z",
    "title_canon_sha256": "c12ccc2b52bff81101ee994cb0aa4f641b51461b1ab6f72cde90f3b02f487f66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4253",
    "kind": "arxiv",
    "version": 2
  }
}