Pith Number

pith:4CBHCGSG

pith:2010:4CBHCGSGK7NC3OOZP4K667QI5P

not attested not anchored not stored refs pending

Index theorems on manifolds with straight ends

Gilles Carron (LMJL), Jochen Br\"uning (Humboldt Universitat), M.P.I.M.), Werner Ballmann (UNIVERSITAT BONN

arxiv:1011.2290 v2 · 2010-11-10 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4CBHCGSGK7NC3OOZP4K667QI5P}

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	2026-05-17T23:53:36.832121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e082711a4657da2db9d97f15ef7e08ebcb70fd1d64be699db568a15d5e0cc7b4

Aliases

arxiv: 1011.2290 · arxiv_version: 1011.2290v2 · doi: 10.48550/arxiv.1011.2290 · pith_short_12: 4CBHCGSGK7NC · pith_short_16: 4CBHCGSGK7NC3OOZ · pith_short_8: 4CBHCGSG

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/4CBHCGSGK7NC3OOZP4K667QI5P \
  | 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: e082711a4657da2db9d97f15ef7e08ebcb70fd1d64be699db568a15d5e0cc7b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "914c010af01e70c71be197128fdad30108b86f95a0f61e691aed10e04370ea77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-11-10T08:09:18Z",
    "title_canon_sha256": "4d775e652e39f65308a0449395d198553cf7eaf73d31e41f21e834c3058499a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2290",
    "kind": "arxiv",
    "version": 2
  }
}