Pith Number

pith:WGBC36YJ

pith:2014:WGBC36YJFMMDCWETCRIPLHK2GW

not attested not anchored not stored refs pending

One-dimensional projective structures, convex curves and the ovals of Benguria & Loss

Jacob Bernstein, Thomas Mettler

arxiv:1403.8000 v2 · 2014-03-31 · math.DG · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WGBC36YJFMMDCWETCRIPLHK2GW}

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	2026-05-18T02:20:49.804076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1822dfb092b183158931450f59d5a3590273db8805fb8cde735104597b05c07

Aliases

arxiv: 1403.8000 · arxiv_version: 1403.8000v2 · doi: 10.48550/arxiv.1403.8000 · pith_short_12: WGBC36YJFMMD · pith_short_16: WGBC36YJFMMDCWET · pith_short_8: WGBC36YJ

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/WGBC36YJFMMDCWETCRIPLHK2GW \
  | 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: b1822dfb092b183158931450f59d5a3590273db8805fb8cde735104597b05c07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06b9241a9ab54ae9fced40e8c763bc290e4f6fadbd798db9e655c1480e9f9f04",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-03-31T14:00:35Z",
    "title_canon_sha256": "6ee346ae83fbc548ca90813059ae68a831c809063456f642a7d999f5d498d154"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.8000",
    "kind": "arxiv",
    "version": 2
  }
}