Pith Number

pith:LQFHWOTW

pith:2013:LQFHWOTWO2ROO2UMW4ODJ56223

not attested not anchored not stored refs pending

Boundary behaviour of harmonic functions on hyperbolic manifolds

Camille Petit

arxiv:1302.5940 v1 · 2013-02-24 · math.MG · math.CA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LQFHWOTWO2ROO2UMW4ODJ56223}

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	2026-05-18T03:32:33.195518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c0a7b3a7676a2e76a8cb71c34f7dad6de6e0bb5136eaedffb9b995bed62d6b3

Aliases

arxiv: 1302.5940 · arxiv_version: 1302.5940v1 · doi: 10.48550/arxiv.1302.5940 · pith_short_12: LQFHWOTWO2RO · pith_short_16: LQFHWOTWO2ROO2UM · pith_short_8: LQFHWOTW

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/LQFHWOTWO2ROO2UMW4ODJ56223 \
  | 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: 5c0a7b3a7676a2e76a8cb71c34f7dad6de6e0bb5136eaedffb9b995bed62d6b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e15892fd7422a59320920bc04fc6bc9bebdd8e6f1764a52ded40807accff826b",
    "cross_cats_sorted": [
      "math.CA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-02-24T19:23:18Z",
    "title_canon_sha256": "d299cfe05dc75ee19df2117f303b31e4b0b4d040f6c774a1ab0a7e6490e5d033"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5940",
    "kind": "arxiv",
    "version": 1
  }
}