Pith Number

pith:SSPTWDDX

pith:2014:SSPTWDDXCGSBCZGATZKSCAJ5WB

not attested not anchored not stored refs pending

On the Erdos-Sos Conjecture for Graphs on n=k+4 Vertices

Long-tu Yuan, Xiao-Dong Zhang

arxiv:1403.5430 v1 · 2014-03-21 · 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{SSPTWDDXCGSBCZGATZKSCAJ5WB}

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	2026-05-18T02:55:56.368357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

949f3b0c7711a41164c09e5521013db076737b07bb24cd6faad4e2a60155a9f9

Aliases

arxiv: 1403.5430 · arxiv_version: 1403.5430v1 · doi: 10.48550/arxiv.1403.5430 · pith_short_12: SSPTWDDXCGSB · pith_short_16: SSPTWDDXCGSBCZGA · pith_short_8: SSPTWDDX

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/SSPTWDDXCGSBCZGATZKSCAJ5WB \
  | 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: 949f3b0c7711a41164c09e5521013db076737b07bb24cd6faad4e2a60155a9f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c79d3f7b827e5a4728cd816fe6e76c06f6fe1ca1009ee32491e24c7ef555528",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-03-21T11:50:52Z",
    "title_canon_sha256": "75ef9530e732b48b8dd739c1d8ba00342356afa5641305cb1116cfae860e3fc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.5430",
    "kind": "arxiv",
    "version": 1
  }
}