Pith Number

pith:WZ5R66WM

pith:2013:WZ5R66WMGAHGIPTBJUAN5QS3K6

not attested not anchored not stored refs pending

On families of lagrangian tori on hyperkaehler manifolds

Ekaterina Amerik, Fr\'ed\'eric Campana

arxiv:1303.0613 v1 · 2013-03-04 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WZ5R66WMGAHGIPTBJUAN5QS3K6}

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	2026-05-18T01:51:17.571529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b67b1f7acc300e643e614d00dec25b57b30acbade3e638b50e328ea8b93e6bc0

Aliases

arxiv: 1303.0613 · arxiv_version: 1303.0613v1 · doi: 10.48550/arxiv.1303.0613 · pith_short_12: WZ5R66WMGAHG · pith_short_16: WZ5R66WMGAHGIPTB · pith_short_8: WZ5R66WM

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/WZ5R66WMGAHGIPTBJUAN5QS3K6 \
  | 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: b67b1f7acc300e643e614d00dec25b57b30acbade3e638b50e328ea8b93e6bc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d49f5077eed0d3c9a3c0dd7811030a4e68ff5bdcb25985c2521c6c267d0d7ea1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-03-04T06:36:57Z",
    "title_canon_sha256": "a43ad9cd382dbfa6002c85173e0c22907298dca614bc07336bf373afd18ea9d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0613",
    "kind": "arxiv",
    "version": 1
  }
}