Pith Number

pith:RHWAD7CY

pith:2015:RHWAD7CYDHOFKYWULOSPB6A6CI

not attested not anchored not stored refs pending

Bounds on the number of non-simple closed geodesics on a surface

Jenya Sapir

arxiv:1505.07171 v1 · 2015-05-27 · 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{RHWAD7CYDHOFKYWULOSPB6A6CI}

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	2026-05-18T00:50:31.297361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89ec01fc5819dc5562d45ba4f0f81e120d63f7dc19aa8f7aed95834dc7a66119

Aliases

arxiv: 1505.07171 · arxiv_version: 1505.07171v1 · doi: 10.48550/arxiv.1505.07171 · pith_short_12: RHWAD7CYDHOF · pith_short_16: RHWAD7CYDHOFKYWU · pith_short_8: RHWAD7CY

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/RHWAD7CYDHOFKYWULOSPB6A6CI \
  | 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: 89ec01fc5819dc5562d45ba4f0f81e120d63f7dc19aa8f7aed95834dc7a66119

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e7db61fcae7995181c395b024169f8f84b5b11cab5a6e369be1a179f9f5e302",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-05-27T01:31:34Z",
    "title_canon_sha256": "4a0333a436417021bc9898775bfa05b45edb142f98ade61d60851abb25e0f246"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07171",
    "kind": "arxiv",
    "version": 1
  }
}