Pith Number

pith:QF3FJJOW

pith:2011:QF3FJJOW2GMTMCYIMB73NWWULY

not attested not anchored not stored refs pending

New Tur\'an densities for 3-graphs

John Talbot, Rahil Baber

arxiv:1110.4287 v3 · 2011-10-19 · 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{QF3FJJOW2GMTMCYIMB73NWWULY}

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	2026-05-18T02:25:11.625239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

817654a5d6d199360b08607fb6dad45e1317f4fb754162d79588c10babd9d4ab

Aliases

arxiv: 1110.4287 · arxiv_version: 1110.4287v3 · doi: 10.48550/arxiv.1110.4287 · pith_short_12: QF3FJJOW2GMT · pith_short_16: QF3FJJOW2GMTMCYI · pith_short_8: QF3FJJOW

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/QF3FJJOW2GMTMCYIMB73NWWULY \
  | 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: 817654a5d6d199360b08607fb6dad45e1317f4fb754162d79588c10babd9d4ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5645773c8cdb141ca390c516b6f0796f50b6e794a3c024547a5830e07f2067b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-19T13:58:53Z",
    "title_canon_sha256": "b608cf56c5d81bee34bff62a4d993622290685ed759f72807e8df6c4912805e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4287",
    "kind": "arxiv",
    "version": 3
  }
}