Pith Number

pith:7RD3WILP

pith:2009:7RD3WILP2OM536DKPQP24IZMU7

not attested not anchored not stored refs pending

Orientations and Connective Structures on 2-vector Bundles

Thomas Kragh

arxiv:0910.0131 v2 · 2009-10-01 · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7RD3WILP2OM536DKPQP24IZMU7}

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	2026-05-18T04:18:15.406400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc47bb216fd399ddf86a7c1fae232ca7f68a38023b5e034f4f035206aa83a4d7

Aliases

arxiv: 0910.0131 · arxiv_version: 0910.0131v2 · doi: 10.48550/arxiv.0910.0131 · pith_short_12: 7RD3WILP2OM5 · pith_short_16: 7RD3WILP2OM536DK · pith_short_8: 7RD3WILP

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/7RD3WILP2OM536DKPQP24IZMU7 \
  | 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: fc47bb216fd399ddf86a7c1fae232ca7f68a38023b5e034f4f035206aa83a4d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2986fbadcf2a3a5d22fcbbbba1c54bec711524168f7da5cfadaa12072001d7c",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-10-01T11:29:20Z",
    "title_canon_sha256": "fe53864d485131028164cf41e0b093a45636dd0f77d17804ceb64898eb9d5141"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0131",
    "kind": "arxiv",
    "version": 2
  }
}