Pith Number

pith:5VEKKZ53

pith:2025:5VEKKZ53ZHLXDLHYZSOCAFUAPG

not attested not anchored not stored refs pending

Contact 3-manifolds that admit a non-free toric action

Aleksandra Marinkovi\'c, Laura Starkston

arxiv:2501.09386 v1 · 2025-01-16 · 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{5VEKKZ53ZHLXDLHYZSOCAFUAPG}

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	2026-07-05T10:01:46.104174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed48a567bbc9d771acf8cc9c201680799b4035b0d89cecd8571f83bb93b02c3f

Aliases

arxiv: 2501.09386 · arxiv_version: 2501.09386v1 · doi: 10.48550/arxiv.2501.09386 · pith_short_12: 5VEKKZ53ZHLX · pith_short_16: 5VEKKZ53ZHLXDLHY · pith_short_8: 5VEKKZ53

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/5VEKKZ53ZHLXDLHYZSOCAFUAPG \
  | 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: ed48a567bbc9d771acf8cc9c201680799b4035b0d89cecd8571f83bb93b02c3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4759dbf5892058e02fbd09eba734bb5de487f647b1a4a8c7952b5dbbd0bbf22b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2025-01-16T08:55:34Z",
    "title_canon_sha256": "f713cd350f87308257fdf4ad8443c6b3d70df0c2cc51ce986948098c676f4a4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.09386",
    "kind": "arxiv",
    "version": 1
  }
}