Pith Number

pith:DVAXGMKE

pith:2012:DVAXGMKEPZKP44L4LDWGVJUXSH

not attested not anchored not stored refs pending

Lagrangian submanifolds in k-symplectic settings

M. De Le\'On, S. Vilari\~no

arxiv:1202.3964 v1 · 2012-02-17 · 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{DVAXGMKEPZKP44L4LDWGVJUXSH}

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	2026-05-18T04:02:02.342499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d417331447e54fe717c58ec6aa69791d8fa2dc166b893e03d3cf117e56e50e3

Aliases

arxiv: 1202.3964 · arxiv_version: 1202.3964v1 · doi: 10.48550/arxiv.1202.3964 · pith_short_12: DVAXGMKEPZKP · pith_short_16: DVAXGMKEPZKP44L4 · pith_short_8: DVAXGMKE

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/DVAXGMKEPZKP44L4LDWGVJUXSH \
  | 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: 1d417331447e54fe717c58ec6aa69791d8fa2dc166b893e03d3cf117e56e50e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25c501e97227ad0b73f6fd5b3aeae4469a0a11296474cb6d0882dc9c96cde9d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-02-17T16:58:32Z",
    "title_canon_sha256": "3a86b85899a9ffa139ca03469791e3228a746ff06ca8db420982906f673887cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3964",
    "kind": "arxiv",
    "version": 1
  }
}