Pith Number

pith:N755YE7M

pith:2014:N755YE7MEOL42M6XPOVMBRSFPV

not attested not anchored not stored refs pending

Universality of graphs with few triangles and anti-triangles

Dan Hefetz, Mykhaylo Tyomkyn

arxiv:1401.5735 v1 · 2014-01-22 · 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{N755YE7MEOL42M6XPOVMBRSFPV}

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	2026-05-17T23:53:14.727280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ffbdc13ec2397cd33d77baac0c6457d75d4214dd2b659c37d2dce52822d004f

Aliases

arxiv: 1401.5735 · arxiv_version: 1401.5735v1 · doi: 10.48550/arxiv.1401.5735 · pith_short_12: N755YE7MEOL4 · pith_short_16: N755YE7MEOL42M6X · pith_short_8: N755YE7M

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/N755YE7MEOL42M6XPOVMBRSFPV \
  | 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: 6ffbdc13ec2397cd33d77baac0c6457d75d4214dd2b659c37d2dce52822d004f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "935de1cbc3dfe14ed11af74c71fe495d2e9f5f181f7990014dedbafaa75b145c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-01-22T17:14:18Z",
    "title_canon_sha256": "645dbddf4412a40d81d6945ccad80a32c7184fcbb8ba74b5a9a7823068e30503"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.5735",
    "kind": "arxiv",
    "version": 1
  }
}