Pith Number

pith:2XH6SZV5

pith:2026:2XH6SZV5RL2ILF42YOTRNEQ6DU

not attested not anchored not stored refs pending

Symplectic torus actions with non-contractible orbits

Rei Henigman, Yael Karshon

arxiv:2607.21159 v1 · 2026-07-23 · math.SG · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2XH6SZV5RL2ILF42YOTRNEQ6DU}

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	2026-07-24T01:23:56.296995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5cfe966bd8af485979ac3a716921e1d3bdb01fa167816bdc8d20bc7ba5e262f

Aliases

arxiv: 2607.21159 · arxiv_version: 2607.21159v1 · doi: 10.48550/arxiv.2607.21159 · pith_short_12: 2XH6SZV5RL2I · pith_short_16: 2XH6SZV5RL2ILF42 · pith_short_8: 2XH6SZV5

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/2XH6SZV5RL2ILF42YOTRNEQ6DU \
  | 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: d5cfe966bd8af485979ac3a716921e1d3bdb01fa167816bdc8d20bc7ba5e262f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f4a6cd516d6064632f9dcd2fe57618c6f52fdc1b64a0a2f18ff9893653ef872",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2026-07-23T10:39:51Z",
    "title_canon_sha256": "83bc8a86240f9c7c9331a5ae5c741d13ad0d6f3716ae83b8b3742143e27c1b56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21159",
    "kind": "arxiv",
    "version": 1
  }
}