Pith Number

pith:7K5UM62G

pith:2019:7K5UM62GC7OQ4LXOHMLCDOFLIG

not attested not anchored not stored refs pending

The Normalized Matching Property in Random and Pseudorandom Bipartite Graphs

Deepanshu Kush, Niranjan Balachandran

arxiv:1908.02628 v3 · 2019-08-07 · math.CO · cs.DM · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7K5UM62GC7OQ4LXOHMLCDOFLIG}

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	2026-07-05T02:51:57.516252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fabb467b4617dd0e2eee3b1621b8ab418d4b22072e04ce1e0b80d97344e9c130

Aliases

arxiv: 1908.02628 · arxiv_version: 1908.02628v3 · doi: 10.48550/arxiv.1908.02628 · pith_short_12: 7K5UM62GC7OQ · pith_short_16: 7K5UM62GC7OQ4LXO · pith_short_8: 7K5UM62G

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/7K5UM62GC7OQ4LXOHMLCDOFLIG \
  | 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: fabb467b4617dd0e2eee3b1621b8ab418d4b22072e04ce1e0b80d97344e9c130

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d64a52db8af885f12fbebb9eb6ab41cf8998fd7a41a610d4c5f49b89c20be836",
    "cross_cats_sorted": [
      "cs.DM",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-07T13:34:26Z",
    "title_canon_sha256": "5ea1da6f23ad3bc289f91dca4c0de6173885ea39ccecd7079c5bb91403f4f847"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02628",
    "kind": "arxiv",
    "version": 3
  }
}