Pith Number

pith:RYPUISZD

pith:2016:RYPUISZDHRRA7QECPOXIMUZH7S

not attested not anchored not stored refs pending

Monochromatic trees in random graphs

Guilherme Oliveira Mota, Mathias Schacht, Yoshiharu Kohayakawa

arxiv:1611.10299 v2 · 2016-11-30 · 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{RYPUISZDHRRA7QECPOXIMUZH7S}

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	2026-05-17T23:53:12.920672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e1f444b233c620fc0827bae865327fc90d634c9beffcb14633aeb8358f0e645

Aliases

arxiv: 1611.10299 · arxiv_version: 1611.10299v2 · doi: 10.48550/arxiv.1611.10299 · pith_short_12: RYPUISZDHRRA · pith_short_16: RYPUISZDHRRA7QEC · pith_short_8: RYPUISZD

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/RYPUISZDHRRA7QECPOXIMUZH7S \
  | 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: 8e1f444b233c620fc0827bae865327fc90d634c9beffcb14633aeb8358f0e645

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b13da2405afee1a271d06dcc14802912501ac0c891e5a0c5a51f5b282e49a741",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-30T18:34:28Z",
    "title_canon_sha256": "16a5ad9d74b15a584800a6e2927a844fb3a4b03306cd5b67883a41e0c36d742c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.10299",
    "kind": "arxiv",
    "version": 2
  }
}