Pith Number

pith:RJ3PAN24

pith:2018:RJ3PAN243H3XW265SUVPCMB4OD

not attested not anchored not stored refs pending

An Application of the Index Theorem for Manifolds with Fibered Boundaries

Andres Larrain-Hubach

arxiv:1809.04066 v3 · 2018-09-11 · 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{RJ3PAN243H3XW265SUVPCMB4OD}

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	2026-05-17T23:53:50.832499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a76f0375cd9f77b6bdd952af1303c70ded69cf33c69d2e12ba73f3fffb76d7d

Aliases

arxiv: 1809.04066 · arxiv_version: 1809.04066v3 · doi: 10.48550/arxiv.1809.04066 · pith_short_12: RJ3PAN243H3X · pith_short_16: RJ3PAN243H3XW265 · pith_short_8: RJ3PAN24

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/RJ3PAN243H3XW265SUVPCMB4OD \
  | 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: 8a76f0375cd9f77b6bdd952af1303c70ded69cf33c69d2e12ba73f3fffb76d7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b44636694e26696ae0589974cb3a13510ef926538e99d741da2b154949ee9f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-09-11T17:59:19Z",
    "title_canon_sha256": "5f35e2ddbebb37ec460ea2c2a8834b223915b993a59621c3b9f8c3039734f66a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.04066",
    "kind": "arxiv",
    "version": 3
  }
}