Pith Number

pith:ZS4VBQ4V

pith:2004:ZS4VBQ4VSOUP2LVIADICFBENPF

not attested not anchored not stored refs pending

Exact Lagrangian submanifolds of $T^*S^n$ and the graded Kronecker quiver

Paul Seidel

arxiv:math/0401212 v1 · 2004-01-17 · 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{ZS4VBQ4VSOUP2LVIADICFBENPF}

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	2026-05-18T01:05:26.640110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccb950c39593a8fd2ea800d022848d7968177c845aad94bc3dc96f882966385f

Aliases

arxiv: math/0401212 · arxiv_version: math/0401212v1 · doi: 10.48550/arxiv.math/0401212 · pith_short_12: ZS4VBQ4VSOUP · pith_short_16: ZS4VBQ4VSOUP2LVI · pith_short_8: ZS4VBQ4V

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/ZS4VBQ4VSOUP2LVIADICFBENPF \
  | 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: ccb950c39593a8fd2ea800d022848d7968177c845aad94bc3dc96f882966385f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc73eae38824456a16b83e14f31e5aafb72e5562d66c9ac64d6708531e630601",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2004-01-17T05:01:00Z",
    "title_canon_sha256": "8fd82dc3fd9bb075637973777fe942c5b322423fd07f6ec3f287e2c53726557f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0401212",
    "kind": "arxiv",
    "version": 1
  }
}