Pith Number

pith:NDMAQ7S5

pith:2020:NDMAQ7S56POM3KJUBLQIQBI76P

not attested not anchored not stored refs pending

Negligible obstructions and Tur\'an exponents

Jie Ma, Tao Jiang, Zilin Jiang

arxiv:2007.02975 v3 · 2020-07-06 · 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{NDMAQ7S56POM3KJUBLQIQBI76P}

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	2026-07-05T05:36:43.543940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68d8087e5df3dccda9340ae088051ff3f59f2d9054514c116e1606d715994e5b

Aliases

arxiv: 2007.02975 · arxiv_version: 2007.02975v3 · doi: 10.48550/arxiv.2007.02975 · pith_short_12: NDMAQ7S56POM · pith_short_16: NDMAQ7S56POM3KJU · pith_short_8: NDMAQ7S5

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/NDMAQ7S56POM3KJUBLQIQBI76P \
  | 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: 68d8087e5df3dccda9340ae088051ff3f59f2d9054514c116e1606d715994e5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c251c22813d537688aca8aba29f9d1b05ffb64e85000876c093b9b341f20dd7e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-07-06T18:02:37Z",
    "title_canon_sha256": "ca9a5791860f6785bac57df0c73f703f430c52a0cb366c9bad88b8ea6a6179e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.02975",
    "kind": "arxiv",
    "version": 3
  }
}