Pith Number

pith:MZ5DEYIP

pith:2024:MZ5DEYIP7M52R2S6TXMDLTPD4Y

not attested not anchored not stored refs pending

Bollob\'as-Nikiforov Conjecture for graphs with not so many triangles

Hitesh Kumar, Shivaramakrishna Pragada

arxiv:2407.19341 v1 · 2024-07-27 · 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{MZ5DEYIP7M52R2S6TXMDLTPD4Y}

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.

Cited by

1 paper in Pith

Conic programming to understand sums of squares of eigenvalues of graphs

Receipt and verification

First computed	2026-07-05T08:49:38.612642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

667a32610ffb3ba8ea5e9dd835cde3e60e42d46014e8f1bd7a7c8cd188acf7be

Aliases

arxiv: 2407.19341 · arxiv_version: 2407.19341v1 · doi: 10.48550/arxiv.2407.19341 · pith_short_12: MZ5DEYIP7M52 · pith_short_16: MZ5DEYIP7M52R2S6 · pith_short_8: MZ5DEYIP

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/MZ5DEYIP7M52R2S6TXMDLTPD4Y \
  | 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: 667a32610ffb3ba8ea5e9dd835cde3e60e42d46014e8f1bd7a7c8cd188acf7be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0b46f6230984961c8bd0313c3e31d47f580e49bb1532a5aa9ff9e239c3688e7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-07-27T21:11:29Z",
    "title_canon_sha256": "4e1df6cb35458b43a93e5a7ee15de7fd0988fc37d8cee18681420e5160884c3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.19341",
    "kind": "arxiv",
    "version": 1
  }
}