Pith Number

pith:5NBQRZZL

pith:2017:5NBQRZZL3MNQQGQGZUT2FXCA3A

not attested not anchored not stored refs pending

An upper bound on distance degenerate handle additions

Yanqing Zou

arxiv:1707.05053 v1 · 2017-07-17 · 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{5NBQRZZL3MNQQGQGZUT2FXCA3A}

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	2026-05-18T00:40:11.486945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb4308e72bdb1b081a06cd27a2dc40d8147b4d52c6f4a5b08110b46bcbb97df5

Aliases

arxiv: 1707.05053 · arxiv_version: 1707.05053v1 · doi: 10.48550/arxiv.1707.05053 · pith_short_12: 5NBQRZZL3MNQ · pith_short_16: 5NBQRZZL3MNQQGQG · pith_short_8: 5NBQRZZL

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/5NBQRZZL3MNQQGQGZUT2FXCA3A \
  | 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: eb4308e72bdb1b081a06cd27a2dc40d8147b4d52c6f4a5b08110b46bcbb97df5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21a4c883e276022a903310c0f2872a30f775ee26ea94615e653808e01a66b8ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-07-17T09:33:35Z",
    "title_canon_sha256": "71a2759a602ece834bb4561fa897fd25410956372ca9e78e22e6a8ed39b28afa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05053",
    "kind": "arxiv",
    "version": 1
  }
}