Pith Number

pith:NMJGV5HI

pith:2010:NMJGV5HIH3BXGDTTMFSR4MANYR

not attested not anchored not stored refs pending

Spectral Methods in PDE

Wei-Min Wang

arxiv:1009.0993 v1 · 2010-09-06 · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NMJGV5HIH3BXGDTTMFSR4MANYR}

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	2026-05-18T04:41:24.216798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b126af4e83ec3730e7361651e300dc4566781ebe87a73410ecd84c2b3258e4c

Aliases

arxiv: 1009.0993 · arxiv_version: 1009.0993v1 · doi: 10.48550/arxiv.1009.0993 · pith_short_12: NMJGV5HIH3BX · pith_short_16: NMJGV5HIH3BXGDTT · pith_short_8: NMJGV5HI

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/NMJGV5HIH3BXGDTTMFSR4MANYR \
  | 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: 6b126af4e83ec3730e7361651e300dc4566781ebe87a73410ecd84c2b3258e4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f65ef60e1ebd7d5cca94d00bfe23e2ccf3c40da673574fd2f8bc400da8af50db",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-06T08:48:51Z",
    "title_canon_sha256": "2cfb8dc2f5724a377bd2a951202cd7293592e8f0815efe0c8cfd983ff9ec1b7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0993",
    "kind": "arxiv",
    "version": 1
  }
}