Pith Number

pith:3HRNYU4Z

pith:2019:3HRNYU4ZRRRW5AGHKPZLFB4XU4

not attested not anchored not stored refs pending

On Gupta's Co-density Conjecture

Guangming Jing, Guantao Chen, Guoli Ding, Wenan Zang, Yan Cao

arxiv:1906.06458 v1 · 2019-06-15 · 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{3HRNYU4ZRRRW5AGHKPZLFB4XU4}

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	2026-05-17T23:43:13.612453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9e2dc53998c636e80c753f2b28797a701ceb9e5a96f70d6d8105a13a8a7c446

Aliases

arxiv: 1906.06458 · arxiv_version: 1906.06458v1 · doi: 10.48550/arxiv.1906.06458 · pith_short_12: 3HRNYU4ZRRRW · pith_short_16: 3HRNYU4ZRRRW5AGH · pith_short_8: 3HRNYU4Z

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/3HRNYU4ZRRRW5AGHKPZLFB4XU4 \
  | 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: d9e2dc53998c636e80c753f2b28797a701ceb9e5a96f70d6d8105a13a8a7c446

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa7ae11751abc0ed612da5556e7e122f0d0ae99359bcd19dcb7f6f362efe56e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-15T03:07:57Z",
    "title_canon_sha256": "6f51a4d7f1d288c47d6cf5dc79d6f9e5da68620e77ce48216a257b1c2cbb1500"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.06458",
    "kind": "arxiv",
    "version": 1
  }
}