Pith Number

pith:GSGMGTC5

pith:2009:GSGMGTC5GKZNEMNFKO4MZMHCVZ

not attested not anchored not stored refs pending

Bers' constants for punctured spheres and hyperelliptic surfaces

Florent Balacheff, Hugo Parlier

arxiv:0911.5149 v2 · 2009-11-26 · 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{GSGMGTC5GKZNEMNFKO4MZMHCVZ}

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	2026-05-18T02:41:19.037476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

348cc34c5d32b2d231a553b8ccb0e2ae60547d2fac0d6ffe99805f36131bfca4

Aliases

arxiv: 0911.5149 · arxiv_version: 0911.5149v2 · doi: 10.48550/arxiv.0911.5149 · pith_short_12: GSGMGTC5GKZN · pith_short_16: GSGMGTC5GKZNEMNF · pith_short_8: GSGMGTC5

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/GSGMGTC5GKZNEMNFKO4MZMHCVZ \
  | 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: 348cc34c5d32b2d231a553b8ccb0e2ae60547d2fac0d6ffe99805f36131bfca4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36dda2b36e1b800d3833f9381c95c02ad346740f928dddb098907572851a595f",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-11-26T20:57:24Z",
    "title_canon_sha256": "45effdeafe36b4d3086def592b3ed34bd896236333ab2b0f77df34107423c7f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.5149",
    "kind": "arxiv",
    "version": 2
  }
}