Pith Number

pith:UOQT3NJL

pith:2012:UOQT3NJLK2TXSBDMV3EKSXY5ND

not attested not anchored not stored refs pending

Eigenfunctions and Nodal Sets

S. Zelditch

arxiv:1205.2812 v1 · 2012-05-12 · 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{UOQT3NJLK2TXSBDMV3EKSXY5ND}

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	2026-05-18T03:25:35.117349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3a13db52b56a779046caec8a95f1d68f5579286930bcc1828bd6368a6e24e86

Aliases

arxiv: 1205.2812 · arxiv_version: 1205.2812v1 · doi: 10.48550/arxiv.1205.2812 · pith_short_12: UOQT3NJLK2TX · pith_short_16: UOQT3NJLK2TXSBDM · pith_short_8: UOQT3NJL

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/UOQT3NJLK2TXSBDMV3EKSXY5ND \
  | 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: a3a13db52b56a779046caec8a95f1d68f5579286930bcc1828bd6368a6e24e86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eefc5d8f703cc13feb70f11fb776780667334fd955aa6d080ecb05b00966365a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-05-12T19:59:42Z",
    "title_canon_sha256": "05e1d472d4331c809010d6ae41552f1bc35e273b7d6159fea7be14864ad20426"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2812",
    "kind": "arxiv",
    "version": 1
  }
}