Pith Number

pith:TRNZAOWZ

pith:2011:TRNZAOWZWSZAKKPZCKIP6LUZ2L

not attested not anchored not stored refs pending

The inducibility of blow-up graphs

Hamed Hatami, James Hirst, Serguei Norine

arxiv:1108.5699 v1 · 2011-08-29 · 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{TRNZAOWZWSZAKKPZCKIP6LUZ2L}

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	2026-05-18T04:14:36.963874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c5b903ad9b4b20529f91290ff2e99d2d3675279116de7b54a8db70f78a501df

Aliases

arxiv: 1108.5699 · arxiv_version: 1108.5699v1 · doi: 10.48550/arxiv.1108.5699 · pith_short_12: TRNZAOWZWSZA · pith_short_16: TRNZAOWZWSZAKKPZ · pith_short_8: TRNZAOWZ

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/TRNZAOWZWSZAKKPZCKIP6LUZ2L \
  | 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: 9c5b903ad9b4b20529f91290ff2e99d2d3675279116de7b54a8db70f78a501df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21dd166e9b52e7f3de94ef6b7056f9836dad80c03f3d9dd06af853246a502fad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-08-29T18:45:42Z",
    "title_canon_sha256": "b696e1605ead4186282fae8282a0eefabec88bb1f65c5e2204b85673d69ff598"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5699",
    "kind": "arxiv",
    "version": 1
  }
}