Pith Number

pith:ZW7MEOHD

pith:2005:ZW7MEOHD23V2TBCC2HKVGZF7EU

not attested not anchored not stored refs pending

On Vector Bundles of Finite Order

Mario Maican

arxiv:math/0507454 v2 · 2005-07-21 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZW7MEOHD23V2TBCC2HKVGZF7EU}

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	2026-05-18T03:07:12.444556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdbec238e3d6eba98442d1d55364bf252a5d78b0ba73182051ab38e21482a3c7

Aliases

arxiv: math/0507454 · arxiv_version: math/0507454v2 · doi: 10.48550/arxiv.math/0507454 · pith_short_12: ZW7MEOHD23V2 · pith_short_16: ZW7MEOHD23V2TBCC · pith_short_8: ZW7MEOHD

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/ZW7MEOHD23V2TBCC2HKVGZF7EU \
  | 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: cdbec238e3d6eba98442d1d55364bf252a5d78b0ba73182051ab38e21482a3c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81dd876184373d2b8455346a39443a40721935b56e55bfd8646ffba66b0602ae",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "2005-07-21T22:07:29Z",
    "title_canon_sha256": "695003140c4b9b689cb79c3487d97a4f466dc4a53c98f4763e93ba636208a376"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0507454",
    "kind": "arxiv",
    "version": 2
  }
}