Pith Number

pith:43ZD6WMD

pith:2017:43ZD6WMDVRWE6BAEG2YJURVQ2N

not attested not anchored not stored refs pending

Bounds for fixed points on products of hyperbolic surfaces

Qiang Zhang, Xuezhi Zhao

arxiv:1708.07629 v1 · 2017-08-25 · 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{43ZD6WMDVRWE6BAEG2YJURVQ2N}

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	2026-05-17T23:42:49.165677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6f23f5983ac6c4f040436b09a46b0d3760108b4c3c26fc12faf5db4ca9275ab

Aliases

arxiv: 1708.07629 · arxiv_version: 1708.07629v1 · doi: 10.48550/arxiv.1708.07629 · pith_short_12: 43ZD6WMDVRWE · pith_short_16: 43ZD6WMDVRWE6BAE · pith_short_8: 43ZD6WMD

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/43ZD6WMDVRWE6BAEG2YJURVQ2N \
  | 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: e6f23f5983ac6c4f040436b09a46b0d3760108b4c3c26fc12faf5db4ca9275ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78a590f98d962329891fa81895eb380e3c7b760c6edeb406f42adc0ee9f2ac81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-08-25T06:55:56Z",
    "title_canon_sha256": "711ac1b3c7cb50b6ff1350eebee8cecef82a06c7f14dc0237e5eeb0645660ca8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.07629",
    "kind": "arxiv",
    "version": 1
  }
}