Pith Number

pith:TOUMXR3H

pith:2016:TOUMXR3HD2U72AHJ2X3OZRG3FJ

not attested not anchored not stored refs pending

Hamiltonian stationary Lagrangian fibrations

Eveline Legendre, Yann Rollin

arxiv:1606.05886 v1 · 2016-06-19 · 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{TOUMXR3HD2U72AHJ2X3OZRG3FJ}

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	2026-05-18T01:12:15.892698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ba8cbc7671ea9fd00e9d5f6ecc4db2a413063fd2209f916ec28ffe80a33bb37

Aliases

arxiv: 1606.05886 · arxiv_version: 1606.05886v1 · doi: 10.48550/arxiv.1606.05886 · pith_short_12: TOUMXR3HD2U7 · pith_short_16: TOUMXR3HD2U72AHJ · pith_short_8: TOUMXR3H

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/TOUMXR3HD2U72AHJ2X3OZRG3FJ \
  | 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: 9ba8cbc7671ea9fd00e9d5f6ecc4db2a413063fd2209f916ec28ffe80a33bb37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53ebd5f5b29af1303f47087936b6f0129c0c2e11e1a14bce93a0428fad67dedd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-06-19T16:34:46Z",
    "title_canon_sha256": "ecffaa0176d7058f3f956836f1d0f267c455d66814892e38cad0485bf0751ebc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05886",
    "kind": "arxiv",
    "version": 1
  }
}