Pith Number

pith:VULA2YE6

pith:2003:VULA2YE656SYMYX3MEQPF6XTB3

not attested not anchored not stored refs pending

Weyl laws on open manifolds

Sergiu Moroianu

arxiv:math/0310075 v1 · 2003-10-06 · math.DG · 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{VULA2YE656SYMYX3MEQPF6XTB3}

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	2026-05-18T02:59:18.960019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad160d609eefa58662fb6120f2faf30ef09073a9dc4784cb4ede66811267c8a9

Aliases

arxiv: math/0310075 · arxiv_version: math/0310075v1 · doi: 10.48550/arxiv.math/0310075 · pith_short_12: VULA2YE656SY · pith_short_16: VULA2YE656SYMYX3 · pith_short_8: VULA2YE6

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/VULA2YE656SYMYX3MEQPF6XTB3 \
  | 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: ad160d609eefa58662fb6120f2faf30ef09073a9dc4784cb4ede66811267c8a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d92cb9f3806da63340e8c4b056bd2616c40a1fb51863b0d4e43485729b41997",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2003-10-06T14:09:43Z",
    "title_canon_sha256": "7d1a41a262f4ab51c3fc768c88410f7001fb77eae86a6bf3df66278f9925f28a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0310075",
    "kind": "arxiv",
    "version": 1
  }
}