Pith Number

pith:ZY4E3P6K

pith:2015:ZY4E3P6K3XBSXO4ZAQABIOEISE

not attested not anchored not stored refs pending

Reeb components of leafwise complex foliations and their symmetries I

Tomohiro Horiuchi, Yoshihiko Mitsumatsu

arxiv:1508.07162 v3 · 2015-08-28 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZY4E3P6K3XBSXO4ZAQABIOEISE}

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	2026-05-18T01:13:16.616456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce384dbfcaddc32bbb99040014388891299506859ca382d784028b211cfcfae6

Aliases

arxiv: 1508.07162 · arxiv_version: 1508.07162v3 · doi: 10.48550/arxiv.1508.07162 · pith_short_12: ZY4E3P6K3XBS · pith_short_16: ZY4E3P6K3XBSXO4Z · pith_short_8: ZY4E3P6K

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/ZY4E3P6K3XBSXO4ZAQABIOEISE \
  | 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: ce384dbfcaddc32bbb99040014388891299506859ca382d784028b211cfcfae6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1be14828c04d53f1ae50c91f593e9d709f7444178af5b183745b53ce046a2a73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-08-28T10:45:23Z",
    "title_canon_sha256": "2c909cf8897ab6bbcccabd94cf1b6712ded5c381a4ea3840ee5cd28476ca8dd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07162",
    "kind": "arxiv",
    "version": 3
  }
}