Pith Number

pith:MVFHIKOG

pith:2013:MVFHIKOGOA7IFAHLLQEOH2HYWB

not attested not anchored not stored refs pending

Spectral estimates on the sphere

Ari Laptev, Jean Dolbeault (CEREMADE), Maria J. Esteban (CEREMADE)

arxiv:1301.1210 v2 · 2013-01-07 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MVFHIKOGOA7IFAHLLQEOH2HYWB}

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	2026-05-18T01:22:25.845108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

654a7429c6703e8280eb5c08e3e8f8b06b51694cae0b897abc9a78555944d34e

Aliases

arxiv: 1301.1210 · arxiv_version: 1301.1210v2 · doi: 10.48550/arxiv.1301.1210 · pith_short_12: MVFHIKOGOA7I · pith_short_16: MVFHIKOGOA7IFAHL · pith_short_8: MVFHIKOG

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/MVFHIKOGOA7IFAHLLQEOH2HYWB \
  | 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: 654a7429c6703e8280eb5c08e3e8f8b06b51694cae0b897abc9a78555944d34e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dde7192c9fef0cc2a6702a3044e485963e51829bc2c01cd3243f5927ee15283f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-01-07T14:46:25Z",
    "title_canon_sha256": "d348811f12b7c387343bb395e8656f26f3ab143129e3e3dd9f72074d142c84f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1210",
    "kind": "arxiv",
    "version": 2
  }
}