Pith Number

pith:RRRXQE5H

pith:2006:RRRXQE5H6RUB6RGNMQLASK3E4H

not attested not anchored not stored refs pending

Weak equivalence classes of complex vector bundles

Hong-Van Le

arxiv:math/0609074 v1 · 2006-09-03 · math.DG · 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{RRRXQE5H6RUB6RGNMQLASK3E4H}

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	2026-05-18T02:43:52.593152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c637813a7f4681f44cd6416092b64e1fa3371f080d2f215b090836fa0a6f3e4

Aliases

arxiv: math/0609074 · arxiv_version: math/0609074v1 · doi: 10.48550/arxiv.math/0609074 · pith_short_12: RRRXQE5H6RUB · pith_short_16: RRRXQE5H6RUB6RGN · pith_short_8: RRRXQE5H

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/RRRXQE5H6RUB6RGNMQLASK3E4H \
  | 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: 8c637813a7f4681f44cd6416092b64e1fa3371f080d2f215b090836fa0a6f3e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76214e1c3f9ea691c27817ebf677f6001ce0b8f3e67f0d44113ee01562495de9",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2006-09-03T08:55:33Z",
    "title_canon_sha256": "1300836a13ef0a518c7dabba6f49c43169efb4af0e9ff548df8a684e14ae90bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609074",
    "kind": "arxiv",
    "version": 1
  }
}