Pith Number

pith:E7IX5AAA

pith:2018:E7IX5AAA7S6GRSR3QGR54IP4SU

not attested not anchored not stored refs pending

Minimum degree condition for a graph to be knitted

Gexin Yu, Martin Rolek, Runrun Liu

arxiv:1811.07482 v2 · 2018-11-19 · 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{E7IX5AAA7S6GRSR3QGR54IP4SU}

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	2026-05-17T23:43:50.488876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27d17e8000fcbc68ca3b81a3de21fc953b50e9d9d12d511e44e53c3ad4304849

Aliases

arxiv: 1811.07482 · arxiv_version: 1811.07482v2 · doi: 10.48550/arxiv.1811.07482 · pith_short_12: E7IX5AAA7S6G · pith_short_16: E7IX5AAA7S6GRSR3 · pith_short_8: E7IX5AAA

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/E7IX5AAA7S6GRSR3QGR54IP4SU \
  | 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: 27d17e8000fcbc68ca3b81a3de21fc953b50e9d9d12d511e44e53c3ad4304849

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9e6bd16f4ea8063611c134800cc42c08641728adb3a32d118e18041ea34e77e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-19T03:34:21Z",
    "title_canon_sha256": "d3d61eefcc50216127856b96063dabe90e9496a47bba1b1d9e1151631b234b77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.07482",
    "kind": "arxiv",
    "version": 2
  }
}