Pith Number

pith:JCLJQD56

pith:2015:JCLJQD56WYMFKQPXFUFMYMNYUS

not attested not anchored not stored refs pending

Invariant submanifolds of metric contact pairs

Amine Hadjar, Paola Piu

arxiv:1509.00994 v1 · 2015-09-03 · 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{JCLJQD56WYMFKQPXFUFMYMNYUS}

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	2026-05-18T01:34:04.581944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4896980fbeb6185541f72d0acc31b8a4ac2b156aaa5dcf837e0b175ca5fc944b

Aliases

arxiv: 1509.00994 · arxiv_version: 1509.00994v1 · doi: 10.48550/arxiv.1509.00994 · pith_short_12: JCLJQD56WYMF · pith_short_16: JCLJQD56WYMFKQPX · pith_short_8: JCLJQD56

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/JCLJQD56WYMFKQPXFUFMYMNYUS \
  | 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: 4896980fbeb6185541f72d0acc31b8a4ac2b156aaa5dcf837e0b175ca5fc944b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fc5d4b9ef6e600bcbcc7ece26ca1ad651dc65777023b59918ad25419bf76412",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-09-03T09:02:20Z",
    "title_canon_sha256": "d7bbe0aa4caa4b8fac4a68273ec2dadce211f8dc3ecf870774863f1d2ccf2377"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00994",
    "kind": "arxiv",
    "version": 1
  }
}