Pith Number

pith:GDZTZY5B

pith:2008:GDZTZY5BJXJKODULX5LODVGZFU

not attested not anchored not stored refs pending

Relative Chern character, boundaries and index formulae

Pierre Albin, Richard Melrose

arxiv:0808.0183 v2 · 2008-08-01 · math.DG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GDZTZY5BJXJKODULX5LODVGZFU}

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	2026-05-18T04:32:22.273019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30f33ce3a14dd2a70e8bbf56e1d4d92d07f0b3b32386760731609eb8df3e525a

Aliases

arxiv: 0808.0183 · arxiv_version: 0808.0183v2 · doi: 10.48550/arxiv.0808.0183 · pith_short_12: GDZTZY5BJXJK · pith_short_16: GDZTZY5BJXJKODUL · pith_short_8: GDZTZY5B

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/GDZTZY5BJXJKODULX5LODVGZFU \
  | 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: 30f33ce3a14dd2a70e8bbf56e1d4d92d07f0b3b32386760731609eb8df3e525a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16354732b2bfc36b95c5e261e541fceb76a0675e404866115ccb378a84ef8a03",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-08-01T19:45:08Z",
    "title_canon_sha256": "63f2c22c5a222c5d43df06917746d917eafa02d54f3f7a41b49e09b6cd87fe9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.0183",
    "kind": "arxiv",
    "version": 2
  }
}