Pith Number

pith:J3I57JXA

pith:2019:J3I57JXAZ6AMSR6S6ICJGYLWMK

not attested not anchored not stored refs pending

Tur\'an theorems for unavoidable patterns

Ant\'onio Gir\~ao, Bhargav Narayanan

arxiv:1907.00964 v1 · 2019-07-01 · 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{J3I57JXAZ6AMSR6S6ICJGYLWMK}

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.

Cited by

1 paper in Pith

The balancing number and list balancing number of some graph classes

Receipt and verification

First computed	2026-05-17T23:41:47.462285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ed1dfa6e0cf80c947d2f2049361766282685c2dbcddbb119982e7d01bb48220

Aliases

arxiv: 1907.00964 · arxiv_version: 1907.00964v1 · doi: 10.48550/arxiv.1907.00964 · pith_short_12: J3I57JXAZ6AM · pith_short_16: J3I57JXAZ6AMSR6S · pith_short_8: J3I57JXA

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/J3I57JXAZ6AMSR6S6ICJGYLWMK \
  | 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: 4ed1dfa6e0cf80c947d2f2049361766282685c2dbcddbb119982e7d01bb48220

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beb2a796778f8c36d6d59e35ba3ce5c16d04b46ba3e2d5432ee8d37dd6d0aa9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-01T17:57:28Z",
    "title_canon_sha256": "5d63344ea97f4945a51dd3e2a49f21bf73193ec1cbc51d116a8fcd7f5c8b0c6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.00964",
    "kind": "arxiv",
    "version": 1
  }
}