Pith Number

pith:ESSOM7T2

pith:2019:ESSOM7T226NUDQ32ARPIZTCYQN

not attested not anchored not stored refs pending

Lagrangian densities of short 3-uniform linear paths and Tur\'an numbers of their extensions

Biao Wu, Yuejian Peng

arxiv:1902.07134 v2 · 2019-02-17 · 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{ESSOM7T226NUDQ32ARPIZTCYQN}

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	2026-05-17T23:52:50.765503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24a4e67e7ad79b41c37a045e8ccc588354b83be2a79ad59f7f3132c6d69a90c3

Aliases

arxiv: 1902.07134 · arxiv_version: 1902.07134v2 · doi: 10.48550/arxiv.1902.07134 · pith_short_12: ESSOM7T226NU · pith_short_16: ESSOM7T226NUDQ32 · pith_short_8: ESSOM7T2

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/ESSOM7T226NUDQ32ARPIZTCYQN \
  | 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: 24a4e67e7ad79b41c37a045e8ccc588354b83be2a79ad59f7f3132c6d69a90c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e61cd5dfdff2b37473ce0f96cb750eaba2f8c2da69ab07cd64f2239391f597c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-02-17T04:58:55Z",
    "title_canon_sha256": "ce2afc8ceddc292f846cabc73284b7ef5b058014b95540c81a50354bd4b43cd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.07134",
    "kind": "arxiv",
    "version": 2
  }
}