Pith Number

pith:JHEZ3P3S

pith:2012:JHEZ3P3SWJEMFY4CDLG6WYXOCJ

not attested not anchored not stored refs pending

Systole growth for finite area hyperbolic surfaces

Eran Makover, Florent Balacheff, Hugo Parlier

arxiv:1201.3468 v2 · 2012-01-17 · math.GT · 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{JHEZ3P3SWJEMFY4CDLG6WYXOCJ}

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	2026-05-18T02:41:18.960603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49c99dbf72b248c2e3821acdeb62ee1270d5057974ac6b7ff6bdcb5e68976953

Aliases

arxiv: 1201.3468 · arxiv_version: 1201.3468v2 · doi: 10.48550/arxiv.1201.3468 · pith_short_12: JHEZ3P3SWJEM · pith_short_16: JHEZ3P3SWJEMFY4C · pith_short_8: JHEZ3P3S

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/JHEZ3P3SWJEMFY4CDLG6WYXOCJ \
  | 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: 49c99dbf72b248c2e3821acdeb62ee1270d5057974ac6b7ff6bdcb5e68976953

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f01caac17775eab140c1b4a03a878ad7f445b263fe8d12de4c306491704afb9",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-01-17T10:04:14Z",
    "title_canon_sha256": "f0a6d643ef8aa310769afddb4f4213e69b3a90ea218963f33a2502ecfed43502"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3468",
    "kind": "arxiv",
    "version": 2
  }
}