Pith Number

pith:JM67Z3NE

pith:2014:JM67Z3NEB2I753IY4W6TB3NFCI

not attested not anchored not stored refs pending

A uniqueness of periodic maps on surfaces

Susumu Hirose, Yasushi Kasahara

arxiv:1411.7728 v2 · 2014-11-28 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JM67Z3NEB2I753IY4W6TB3NFCI}

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	2026-05-18T02:27:31.853628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b3dfceda40e91feed18e5bd30eda5121530fc6e33a1e14514a50a3339b161bc

Aliases

arxiv: 1411.7728 · arxiv_version: 1411.7728v2 · doi: 10.48550/arxiv.1411.7728 · pith_short_12: JM67Z3NEB2I7 · pith_short_16: JM67Z3NEB2I753IY · pith_short_8: JM67Z3NE

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/JM67Z3NEB2I753IY4W6TB3NFCI \
  | 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: 4b3dfceda40e91feed18e5bd30eda5121530fc6e33a1e14514a50a3339b161bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23a9b0773e1c68e3cb0c498316098cd3d787f14056b604740196a859ed7f8bae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-11-28T00:47:23Z",
    "title_canon_sha256": "30636a7c9e6bec5b0ad6d577965269037f75972130a22bc2c77ab9844ced7a10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7728",
    "kind": "arxiv",
    "version": 2
  }
}