Pith Number

pith:IMMWRE6T

pith:2017:IMMWRE6TMWCKK5YYVOCU63HVQG

not attested not anchored not stored refs pending

Flip-distance between \alpha-orientations of graphs embedded on plane and sphere

Fuji Zhang, Jianguo Qian, Weijuan Zhang

arxiv:1706.00970 v1 · 2017-06-03 · 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{IMMWRE6TMWCKK5YYVOCU63HVQG}

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	2026-05-18T00:43:07.202305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43196893d36584a57718ab854f6cf581907b84063710f6bdb5d60375bee1183e

Aliases

arxiv: 1706.00970 · arxiv_version: 1706.00970v1 · doi: 10.48550/arxiv.1706.00970 · pith_short_12: IMMWRE6TMWCK · pith_short_16: IMMWRE6TMWCKK5YY · pith_short_8: IMMWRE6T

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/IMMWRE6TMWCKK5YYVOCU63HVQG \
  | 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: 43196893d36584a57718ab854f6cf581907b84063710f6bdb5d60375bee1183e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7290f18ece5d63573bf45fc8d8d7fbaf2ac61670e2c67fd017829ddfa2d93e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-03T15:59:26Z",
    "title_canon_sha256": "fc78fdce201b2d6151123c1405e9d422aff43e203cc4fba365e5b030683512a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.00970",
    "kind": "arxiv",
    "version": 1
  }
}