Pith Number

pith:F6HFXDYL

pith:2018:F6HFXDYLBPKINO6RRLHJPPVO54

not attested not anchored not stored refs pending

Systoles of hyperbolic surfaces with big cyclic symmetry

Sheng Bai, Shicheng Wang, Yue Gao

arxiv:1812.05341 v4 · 2018-12-13 · math.GT · 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{F6HFXDYLBPKINO6RRLHJPPVO54}

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	2026-07-05T00:43:31.653301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f8e5b8f0b0bd486bbd18ace97beaeef37e1ade3b71f5a266dd7f6c58ed5156a

Aliases

arxiv: 1812.05341 · arxiv_version: 1812.05341v4 · doi: 10.48550/arxiv.1812.05341 · pith_short_12: F6HFXDYLBPKI · pith_short_16: F6HFXDYLBPKINO6R · pith_short_8: F6HFXDYL

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/F6HFXDYLBPKINO6RRLHJPPVO54 \
  | 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: 2f8e5b8f0b0bd486bbd18ace97beaeef37e1ade3b71f5a266dd7f6c58ed5156a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "948f75c9a980f1f89eab19f46e6e682cf6e7aa767943c0d81d8ce8f9046e1587",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-12-13T09:54:48Z",
    "title_canon_sha256": "f9d98558210b0cbd50b0eaca0a3080bbbfaadf56530329bff307a284194e9707"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05341",
    "kind": "arxiv",
    "version": 4
  }
}