Pith Number

pith:V5VZVG7K

pith:2017:V5VZVG7K7LE64VJXR6IH4EEEIE

not attested not anchored not stored refs pending

Estimating symplectic capacities from lengths of closed curves on the unit spheres

Arseniy Akopyan, Roman Karasev

arxiv:1801.00242 v1 · 2017-12-31 · math.MG · 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{V5VZVG7K7LE64VJXR6IH4EEEIE}

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	2026-05-18T00:26:58.970815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af6b9a9beafac9ee55378f907e10844119a02d349fcbbc2457109492d4da81b4

Aliases

arxiv: 1801.00242 · arxiv_version: 1801.00242v1 · doi: 10.48550/arxiv.1801.00242 · pith_short_12: V5VZVG7K7LE6 · pith_short_16: V5VZVG7K7LE64VJX · pith_short_8: V5VZVG7K

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/V5VZVG7K7LE64VJXR6IH4EEEIE \
  | 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: af6b9a9beafac9ee55378f907e10844119a02d349fcbbc2457109492d4da81b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7affdb4bcd2ef9a0dddd508a88e0d621a9fce7b7f88e01e488adb6d2d9572d87",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-12-31T05:59:20Z",
    "title_canon_sha256": "468fb96c9d4d4370914a5d3741af713c3d0ec48c4190a7962f5b0687d54bea78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00242",
    "kind": "arxiv",
    "version": 1
  }
}