Pith Number

pith:UVBJU4LF

pith:2004:UVBJU4LF2QYZMPWLFHQVQJL5F6

not attested not anchored not stored refs pending

A K-Theory Proof of the Cobordism Invariance of the Index

Catarina Carvalho

arxiv:math/0408260 v1 · 2004-08-19 · math.KT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UVBJU4LF2QYZMPWLFHQVQJL5F6}

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	2026-05-18T01:05:26.080329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5429a7165d431963ecb29e158257d2faef0d942c2ce0a97ea0669d25f6c6e20

Aliases

arxiv: math/0408260 · arxiv_version: math/0408260v1 · doi: 10.48550/arxiv.math/0408260 · pith_short_12: UVBJU4LF2QYZ · pith_short_16: UVBJU4LF2QYZMPWL · pith_short_8: UVBJU4LF

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/UVBJU4LF2QYZMPWLFHQVQJL5F6 \
  | 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: a5429a7165d431963ecb29e158257d2faef0d942c2ce0a97ea0669d25f6c6e20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "907a8ee457ecfedf0544cd771be923b41381c4acb483f4c4f6c1a41b5e4f8f2c",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.KT",
    "submitted_at": "2004-08-19T12:24:17Z",
    "title_canon_sha256": "6053c034dcfdfebcf63d371bcec45da1bd99f14c66d3b4e468a9d90bbd942afa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0408260",
    "kind": "arxiv",
    "version": 1
  }
}