Pith Number

pith:QSMULFXZ

pith:2011:QSMULFXZSD5HSO3HXGTLBQHWTG

not attested not anchored not stored refs pending

Conditional Extremals

Lyle Noakes

arxiv:1104.2647 v1 · 2011-04-14 · math.DG · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QSMULFXZSD5HSO3HXGTLBQHWTG}

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	2026-05-18T04:24:27.132311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84994596f990fa793b67b9a6b0c0f69992d90cbfda1c32b3e861c23de5e59a34

Aliases

arxiv: 1104.2647 · arxiv_version: 1104.2647v1 · doi: 10.48550/arxiv.1104.2647 · pith_short_12: QSMULFXZSD5H · pith_short_16: QSMULFXZSD5HSO3H · pith_short_8: QSMULFXZ

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/QSMULFXZSD5HSO3HXGTLBQHWTG \
  | 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: 84994596f990fa793b67b9a6b0c0f69992d90cbfda1c32b3e861c23de5e59a34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8312cffd90ce1bf988fffedbeb1770e8f3e41642e64d92c6523eaa76097b79a8",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-04-14T01:13:17Z",
    "title_canon_sha256": "712221607a2bf3c4e7ff03be0878285aa60d7efcf1a7bcde23f3670be9b8fd8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2647",
    "kind": "arxiv",
    "version": 1
  }
}