Pith Number

pith:Y3NEFFFX

pith:2021:Y3NEFFFXO34QTATHVN73DJXVLS

not attested not anchored not stored refs pending

Minimal quadrangulations of surfaces

Dong Ye, M. N. Ellingham, Wenzhong Liu

arxiv:2106.13377 v1 · 2021-06-25 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y3NEFFFXO34QTATHVN73DJXVLS}

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	2026-07-05T02:52:18.827004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6da4294b776f9098267ab7fb1a6f55cae9c0386a5bd2ae496bd074e3342aaad

Aliases

arxiv: 2106.13377 · arxiv_version: 2106.13377v1 · doi: 10.48550/arxiv.2106.13377 · pith_short_12: Y3NEFFFXO34Q · pith_short_16: Y3NEFFFXO34QTATH · pith_short_8: Y3NEFFFX

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/Y3NEFFFXO34QTATHVN73DJXVLS \
  | 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: c6da4294b776f9098267ab7fb1a6f55cae9c0386a5bd2ae496bd074e3342aaad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fc5b39d326e80d38c63452c0c63487c367e337c6cc0ecb040d3cf03e6404c0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-06-25T01:10:43Z",
    "title_canon_sha256": "2445272ab4d3e568feea82bc9f0eb75a2555fb0a33e9cc120e5c0273815da906"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.13377",
    "kind": "arxiv",
    "version": 1
  }
}