Pith Number

pith:IXASB22B

pith:2020:IXASB22BH5GG4JEO4XZCEC2MOK

not attested not anchored not stored refs pending

Real Lagrangian Tori and Versal Deformations

Jo\'e Brendel

arxiv:2002.03696 v2 · 2020-02-10 · 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{IXASB22BH5GG4JEO4XZCEC2MOK}

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.

Cited by

1 paper in Pith

Ewald's Conjecture and integer points in algebraic and symplectic toric geometry

Receipt and verification

First computed	2026-07-05T01:03:42.685067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45c120eb413f4c6e248ee5f2220b4c7297828faf24e937053000ede9eaf9c64e

Aliases

arxiv: 2002.03696 · arxiv_version: 2002.03696v2 · doi: 10.48550/arxiv.2002.03696 · pith_short_12: IXASB22BH5GG · pith_short_16: IXASB22BH5GG4JEO · pith_short_8: IXASB22B

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/IXASB22BH5GG4JEO4XZCEC2MOK \
  | 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: 45c120eb413f4c6e248ee5f2220b4c7297828faf24e937053000ede9eaf9c64e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23a139a64c878c5e3c75d06b7414fb7afc8d50ba8bcb538fcb86a65ea27260d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2020-02-10T13:02:18Z",
    "title_canon_sha256": "fa4a4fc5929fe0a4acb44826684f30db0ae130ab640cfb6b8c227ef6da463fcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.03696",
    "kind": "arxiv",
    "version": 2
  }
}