Pith Number

pith:PUI6MXZO

pith:2003:PUI6MXZOK3EFP553KGP45CBSDI

not attested not anchored not stored refs pending

The Plateau problem at infinity for horizontal ends and genus 1

Laurent Mazet

arxiv:math/0312080 v1 · 2003-12-03 · 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{PUI6MXZOK3EFP553KGP45CBSDI}

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	2026-05-18T02:22:20.052843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d11e65f2e56c857f7bb519fce88321a05cb44af9de68123e332b65c6432c66c

Aliases

arxiv: math/0312080 · arxiv_version: math/0312080v1 · doi: 10.48550/arxiv.math/0312080 · pith_short_12: PUI6MXZOK3EF · pith_short_16: PUI6MXZOK3EFP553 · pith_short_8: PUI6MXZO

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/PUI6MXZOK3EFP553KGP45CBSDI \
  | 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: 7d11e65f2e56c857f7bb519fce88321a05cb44af9de68123e332b65c6432c66c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25a64c58ed291b81eaacb704043ba7cb05bf6af80bd1655f3e55672f08c2c324",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2003-12-03T13:17:26Z",
    "title_canon_sha256": "9802aada61eb21d77ef3b962cdad160782c5843d614cb221ae2f6e8d82f18441"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312080",
    "kind": "arxiv",
    "version": 1
  }
}