Pith Number

pith:ST4WGIXF

pith:2017:ST4WGIXFBGNRCFLAQVRLG7AEUE

not attested not anchored not stored refs pending

Symplectic capacities from positive S^1-equivariant symplectic homology

Jean Gutt, Michael Hutchings

arxiv:1707.06514 v1 · 2017-07-20 · 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{ST4WGIXFBGNRCFLAQVRLG7AEUE}

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	2026-05-18T00:02:36.307267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94f96322e5099b1115608562b37c04a1251cb739548de40609044571c8e69c49

Aliases

arxiv: 1707.06514 · arxiv_version: 1707.06514v1 · doi: 10.48550/arxiv.1707.06514 · pith_short_12: ST4WGIXFBGNR · pith_short_16: ST4WGIXFBGNRCFLA · pith_short_8: ST4WGIXF

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/ST4WGIXFBGNRCFLAQVRLG7AEUE \
  | 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: 94f96322e5099b1115608562b37c04a1251cb739548de40609044571c8e69c49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f7919b575a622b8270ef6f6193f99d99cf326ebdc93b03e7c3eda734fc073ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2017-07-20T14:02:37Z",
    "title_canon_sha256": "4ac8885a4e96f7380657339f4d0c14597443997ab7beb1620a05a1d4ed91bfc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06514",
    "kind": "arxiv",
    "version": 1
  }
}