Pith Number

pith:DU73OD4V

pith:2011:DU73OD4VYQHWWDUT722L566RXZ

not attested not anchored not stored refs pending

K-homology and index theory on contact manifolds

Erik van Erp, Paul F. Baum

arxiv:1107.1741 v3 · 2011-07-08 · math.OA · 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{DU73OD4VYQHWWDUT722L566RXZ}

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	2026-05-18T03:39:05.417970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d3fb70f95c40f6b0e93feb4befbd1be5fb32517f1010e9ac0fdbc2cdacb6537

Aliases

arxiv: 1107.1741 · arxiv_version: 1107.1741v3 · doi: 10.48550/arxiv.1107.1741 · pith_short_12: DU73OD4VYQHW · pith_short_16: DU73OD4VYQHWWDUT · pith_short_8: DU73OD4V

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/DU73OD4VYQHWWDUT722L566RXZ \
  | 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: 1d3fb70f95c40f6b0e93feb4befbd1be5fb32517f1010e9ac0fdbc2cdacb6537

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a0c6ff96edfd2e715c3be56b745c9937c15e148da005ada825e5be52510a747",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-07-08T22:01:47Z",
    "title_canon_sha256": "3529c453cd58c9f5af57d02d55ed1569d209d58b06cf3e08f5ec8265cca3291f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1741",
    "kind": "arxiv",
    "version": 3
  }
}