Pith Number

pith:5KWVCEN2

pith:2014:5KWVCEN2UYHVQ4MBPNMKUIRH47

not attested not anchored not stored refs pending

Foliations with geometric structures

Sauvik Mukherjee

arxiv:1409.3387 v1 · 2014-09-11 · 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{5KWVCEN2UYHVQ4MBPNMKUIRH47}

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	2026-05-18T02:43:01.483635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaad5111baa60f5871817b58aa2227e7d2d78069964c349dcaaee9ef6a814471

Aliases

arxiv: 1409.3387 · arxiv_version: 1409.3387v1 · doi: 10.48550/arxiv.1409.3387 · pith_short_12: 5KWVCEN2UYHV · pith_short_16: 5KWVCEN2UYHVQ4MB · pith_short_8: 5KWVCEN2

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/5KWVCEN2UYHVQ4MBPNMKUIRH47 \
  | 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: eaad5111baa60f5871817b58aa2227e7d2d78069964c349dcaaee9ef6a814471

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "414a6edd878aaf801d2a86a49e0687e350767202487334a2fbd0dcbac69b8694",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-09-11T11:02:09Z",
    "title_canon_sha256": "2140ebaf2f2decb07e743cfc7b95bab3cefeb21aff77e91c1ff394fc614e9e00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.3387",
    "kind": "arxiv",
    "version": 1
  }
}