Pith Number

pith:BIR6BAEK

pith:2005:BIR6BAEKZROAKYALSXGNOOYPOT

not attested not anchored not stored refs pending

Spectral properties of bipolar minimal surfaces in S^4

Hugues Lapointe

arxiv:math/0511443 v1 · 2005-11-17 · math.DG · 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{BIR6BAEKZROAKYALSXGNOOYPOT}

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	2026-07-04T14:51:42.807489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a23e0808acc5c05600b95ccd73b0f74d6c8cd4fff5cf8386ea0e9dc4c6c1d27

Aliases

arxiv: math/0511443 · arxiv_version: math/0511443v1 · doi: 10.48550/arxiv.math/0511443 · pith_short_12: BIR6BAEKZROA · pith_short_16: BIR6BAEKZROAKYAL · pith_short_8: BIR6BAEK

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/BIR6BAEKZROAKYALSXGNOOYPOT \
  | 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: 0a23e0808acc5c05600b95ccd73b0f74d6c8cd4fff5cf8386ea0e9dc4c6c1d27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cf7be1a0e06e81549fb91b1cd3247112a02a334b8a9a7ff61dda9198c6fba61",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2005-11-17T15:22:13Z",
    "title_canon_sha256": "f9be925d1a91d5dcab6445f23f3c230e8c9f2b4da20349eae6907208d081f33a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511443",
    "kind": "arxiv",
    "version": 1
  }
}