Pith Number

pith:2BMK6NIH

pith:2019:2BMK6NIHV7CTERZPOUSUGDRLLD

not attested not anchored not stored refs pending

Asymptotic Density of Graphs Excluding Disconnected Minors

Rohan Kapadia, Sergey Norin, Yingjie Qian

arxiv:1903.03908 v1 · 2019-03-10 · 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{2BMK6NIHV7CTERZPOUSUGDRLLD}

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	2026-05-17T23:51:40.623267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d058af3507afc532472f7525430e2b58ef57007021804bb2e140a096975e3455

Aliases

arxiv: 1903.03908 · arxiv_version: 1903.03908v1 · doi: 10.48550/arxiv.1903.03908 · pith_short_12: 2BMK6NIHV7CT · pith_short_16: 2BMK6NIHV7CTERZP · pith_short_8: 2BMK6NIH

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/2BMK6NIHV7CTERZPOUSUGDRLLD \
  | 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: d058af3507afc532472f7525430e2b58ef57007021804bb2e140a096975e3455

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13ac38312c72a565a29b4d2f26214c8f6d0754715879e06123f045889cf3bbce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-10T02:58:46Z",
    "title_canon_sha256": "d724a236cde18436283a2705b0efe89cba30c2ca2fb01ead34c184b017282cfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.03908",
    "kind": "arxiv",
    "version": 1
  }
}