Pith Number

pith:CCDFEHSE

pith:2023:CCDFEHSEQDUFZRNWLXLSO3AQIT

not attested not anchored not stored refs pending

Rank-preserving additions for topological vector bundles, after a construction of Horrocks

Morgan Opie

arxiv:2302.06963 v2 · 2023-02-14 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CCDFEHSEQDUFZRNWLXLSO3AQIT}

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	2026-07-05T11:55:58.687289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1086521e4480e85cc5b65dd7276c1044f8f30681a4c8d27129aa72a8dcf897e0

Aliases

arxiv: 2302.06963 · arxiv_version: 2302.06963v2 · doi: 10.48550/arxiv.2302.06963 · pith_short_12: CCDFEHSEQDUF · pith_short_16: CCDFEHSEQDUFZRNW · pith_short_8: CCDFEHSE

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/CCDFEHSEQDUFZRNWLXLSO3AQIT \
  | 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: 1086521e4480e85cc5b65dd7276c1044f8f30681a4c8d27129aa72a8dcf897e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d2de0a3c03b09feb14a8a5088a1d337cb53aa248130ef3a2fe6611dc13d95ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2023-02-14T10:43:25Z",
    "title_canon_sha256": "51ce68713b11d6175fb3e8584bdcf7fb228140043ff7059858fe9ab7da86c0dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.06963",
    "kind": "arxiv",
    "version": 2
  }
}