Pith Number

pith:KELR77WE

pith:2012:KELR77WEF2M45XQGAIUVEWVOPH

not attested not anchored not stored refs pending

Webs of Lagrangian Tori in Projective Symplectic Manifolds

Jun-Muk Hwang, Richard M. Weiss

arxiv:1201.2369 v2 · 2012-01-11 · math.AG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KELR77WEF2M45XQGAIUVEWVOPH}

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	2026-05-18T01:58:52.686698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51171ffec42e99cede060229525aae79dcf3fbece613cdb3404742232f771229

Aliases

arxiv: 1201.2369 · arxiv_version: 1201.2369v2 · doi: 10.48550/arxiv.1201.2369 · pith_short_12: KELR77WEF2M4 · pith_short_16: KELR77WEF2M45XQG · pith_short_8: KELR77WE

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/KELR77WEF2M45XQGAIUVEWVOPH \
  | 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: 51171ffec42e99cede060229525aae79dcf3fbece613cdb3404742232f771229

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "981d23015925127a6e14daf38580548e15e6a8aa1aeeef098cffece95c557065",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-01-11T18:31:06Z",
    "title_canon_sha256": "9f27ab24b7f771c0eb5c4dce6f7a57243b853b8d2cdd3a7c84d5f3f899c90a1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2369",
    "kind": "arxiv",
    "version": 2
  }
}