Pith Number

pith:ADNRDVFX

pith:2010:ADNRDVFXDJCVSMETKWX5PCHLAP

not attested not anchored not stored refs pending

On Vanishing Theorems For Vector Bundle Valued p-Forms And Their Applications

Shihshu Walter Wei, Yuxin Dong

arxiv:1003.3777 v2 · 2010-03-19 · math.DG · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ADNRDVFXDJCVSMETKWX5PCHLAP}

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	2026-05-18T02:08:25.401297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00db11d4b71a4559309355afd788eb03c847fddcd75b0bd7232c3b6395974970

Aliases

arxiv: 1003.3777 · arxiv_version: 1003.3777v2 · doi: 10.48550/arxiv.1003.3777 · pith_short_12: ADNRDVFXDJCV · pith_short_16: ADNRDVFXDJCVSMET · pith_short_8: ADNRDVFX

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/ADNRDVFXDJCVSMETKWX5PCHLAP \
  | 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: 00db11d4b71a4559309355afd788eb03c847fddcd75b0bd7232c3b6395974970

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef2bf9961110d63a3c01907284ca3f051c674ec9474f7bbe074f8be618aaf8d2",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-03-19T11:53:25Z",
    "title_canon_sha256": "032d804f617dbc38e5c6b959aa79aaa317ef29e5755af02ad5a5b61a339d992b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3777",
    "kind": "arxiv",
    "version": 2
  }
}