Pith Number

pith:XMBW3KX5

pith:2016:XMBW3KX5C3KW2MVFPOX6TJOIRS

not attested not anchored not stored refs pending

The higher twisted index theorem for foliations

Alexander Gorokhovsky, Eric Leichtnam, Moulay-Tahar Benameur

arxiv:1607.04248 v2 · 2016-07-14 · 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{XMBW3KX5C3KW2MVFPOX6TJOIRS}

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	2026-05-18T00:49:42.270329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb036daafd16d56d32a57bafe9a5c88c995a7d84321ad7401a96b6e20f0ee41e

Aliases

arxiv: 1607.04248 · arxiv_version: 1607.04248v2 · doi: 10.48550/arxiv.1607.04248 · pith_short_12: XMBW3KX5C3KW · pith_short_16: XMBW3KX5C3KW2MVF · pith_short_8: XMBW3KX5

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/XMBW3KX5C3KW2MVFPOX6TJOIRS \
  | 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: bb036daafd16d56d32a57bafe9a5c88c995a7d84321ad7401a96b6e20f0ee41e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5adf413916a1932d8c130bcdf7ccc93ea42eede81d13d20dbd5455396edd063c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2016-07-14T18:55:33Z",
    "title_canon_sha256": "84d6b7f0c4ed97c0843e91a028c3a8bd6c15b1478c94f70f7b1397b161da241f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04248",
    "kind": "arxiv",
    "version": 2
  }
}