Pith Number

pith:424ZHMET

pith:2012:424ZHMETK4EEBVQCOL2V7J4DMF

not attested not anchored not stored refs pending

Density problems on vector bundles and manifolds

Lashi Bandara

arxiv:1207.6440 v1 · 2012-07-27 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{424ZHMETK4EEBVQCOL2V7J4DMF}

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	2026-05-18T01:19:31.111301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6b993b093570840d60272f55fa783615016a79bf4e1d8aa4d3594ca02760c2c

Aliases

arxiv: 1207.6440 · arxiv_version: 1207.6440v1 · doi: 10.48550/arxiv.1207.6440 · pith_short_12: 424ZHMETK4EE · pith_short_16: 424ZHMETK4EEBVQC · pith_short_8: 424ZHMET

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/424ZHMETK4EEBVQCOL2V7J4DMF \
  | 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: e6b993b093570840d60272f55fa783615016a79bf4e1d8aa4d3594ca02760c2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ed619d0cea3c4493018188a666afce12d616cc10941661246323cfdd83d184c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-07-27T04:02:34Z",
    "title_canon_sha256": "87fe942e30767d036bc47d14abf2ae6eacba878c971f21de5f52ac748af00f75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6440",
    "kind": "arxiv",
    "version": 1
  }
}