Pith Number

pith:4L26XCG2

pith:2013:4L26XCG2H2FTGBPM4SVFZBT4XA

not attested not anchored not stored refs pending

Compactly supported Hamiltonian loops with non zero Calabi invariant

Asaf Kislev

arxiv:1310.1555 v2 · 2013-10-06 · 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{4L26XCG2H2FTGBPM4SVFZBT4XA}

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	2026-05-18T00:54:58.399001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2f5eb88da3e8b3305ece4aa5c867cb81850f04f864ae72793524c0fba72060c

Aliases

arxiv: 1310.1555 · arxiv_version: 1310.1555v2 · doi: 10.48550/arxiv.1310.1555 · pith_short_12: 4L26XCG2H2FT · pith_short_16: 4L26XCG2H2FTGBPM · pith_short_8: 4L26XCG2

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/4L26XCG2H2FTGBPM4SVFZBT4XA \
  | 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: e2f5eb88da3e8b3305ece4aa5c867cb81850f04f864ae72793524c0fba72060c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fde73afd4d536a5ae1e8a2571009cf9f1a853c87190826977bea0f3b9eaf725",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-10-06T08:08:47Z",
    "title_canon_sha256": "376502d64e768c37a0cd34f12e494d00ebb5006612b17aa481b10a8d97b10cc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1555",
    "kind": "arxiv",
    "version": 2
  }
}