Pith Number

pith:TEOWNNB4

pith:2013:TEOWNNB4SZMNEPSDBHT2NJ4XH4

not attested not anchored not stored refs pending

On the maximum induced density of directed stars and related problems

Hao Huang

arxiv:1303.3101 v2 · 2013-03-13 · 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{TEOWNNB4SZMNEPSDBHT2NJ4XH4}

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	2026-05-18T03:30:40.680037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

991d66b43c9658d23e4309e7a6a7973f27ac368dcde1098fd1540de785e3ae54

Aliases

arxiv: 1303.3101 · arxiv_version: 1303.3101v2 · doi: 10.48550/arxiv.1303.3101 · pith_short_12: TEOWNNB4SZMN · pith_short_16: TEOWNNB4SZMNEPSD · pith_short_8: TEOWNNB4

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/TEOWNNB4SZMNEPSDBHT2NJ4XH4 \
  | 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: 991d66b43c9658d23e4309e7a6a7973f27ac368dcde1098fd1540de785e3ae54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56073aab2506831c38e8ac2a46b58c45af09f213c716e91df0df835357020a4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-13T07:21:49Z",
    "title_canon_sha256": "19f9b639ebe39ea2b0871a68a1fd8522c109906b2dfd7bc7594a4790afdfef11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3101",
    "kind": "arxiv",
    "version": 2
  }
}