Pith Number

pith:YFZUPZ7F

pith:2015:YFZUPZ7FKVHX3NDKJWV57WCJSC

not attested not anchored not stored refs pending

Circle actions on symplectic four-manifolds

Liat Kessler, Tara S. Holm

arxiv:1507.05972 v3 · 2015-07-21 · 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{YFZUPZ7FKVHX3NDKJWV57WCJSC}

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	2026-05-18T00:52:55.589390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c17347e7e5554f7db46a4dabdfd84990b1c5467aa665a55aaabe0038235e6c3c

Aliases

arxiv: 1507.05972 · arxiv_version: 1507.05972v3 · doi: 10.48550/arxiv.1507.05972 · pith_short_12: YFZUPZ7FKVHX · pith_short_16: YFZUPZ7FKVHX3NDK · pith_short_8: YFZUPZ7F

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/YFZUPZ7FKVHX3NDKJWV57WCJSC \
  | 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: c17347e7e5554f7db46a4dabdfd84990b1c5467aa665a55aaabe0038235e6c3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14b92e3f0eeefde7d28dea185da2a5de17504e091b4f0bf35b05a8a2ea890598",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-07-21T20:06:41Z",
    "title_canon_sha256": "9d4a8721f1b99873c82c950faaaa95ad7b4512fa6f53d04c2569163b6f2eea41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05972",
    "kind": "arxiv",
    "version": 3
  }
}