Pith Number

pith:ZKB5E2YV

pith:2012:ZKB5E2YVM4K2LCV7VQNAEFYMCV

not attested not anchored not stored refs pending

Holonomy transformations for singular foliations

Iakovos Androulidakis, Marco Zambon

arxiv:1205.6008 v3 · 2012-05-27 · 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{ZKB5E2YVM4K2LCV7VQNAEFYMCV}

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	2026-05-18T02:43:02.742809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca83d26b156715a58abfac1a02170c1553ff2f7dd3f379b4528252583b04eb93

Aliases

arxiv: 1205.6008 · arxiv_version: 1205.6008v3 · doi: 10.48550/arxiv.1205.6008 · pith_short_12: ZKB5E2YVM4K2 · pith_short_16: ZKB5E2YVM4K2LCV7 · pith_short_8: ZKB5E2YV

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/ZKB5E2YVM4K2LCV7VQNAEFYMCV \
  | 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: ca83d26b156715a58abfac1a02170c1553ff2f7dd3f379b4528252583b04eb93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f189544372e6ca9d18f39c6400f9e42f7d4594210b372225a9af811e38a9d9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-05-27T21:53:27Z",
    "title_canon_sha256": "47e9b3d749c2d0f6cec2917cccf3b2ffcf113d927e4982cc33863cb297f94779"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6008",
    "kind": "arxiv",
    "version": 3
  }
}