Pith Number

pith:73TTH3PM

pith:2017:73TTH3PMLL6YCF3PANVS3MGAM5

not attested not anchored not stored refs pending

The independent set sequence of some families of trees

David Galvin, Justin Hilyard

arxiv:1701.02204 v4 · 2017-01-09 · 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{73TTH3PMLL6YCF3PANVS3MGAM5}

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	2026-05-18T00:28:25.817926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fee733edec5afd81176f036b2db0c06769f958ef8fcce88dc9f58191c5e4d76f

Aliases

arxiv: 1701.02204 · arxiv_version: 1701.02204v4 · doi: 10.48550/arxiv.1701.02204 · pith_short_12: 73TTH3PMLL6Y · pith_short_16: 73TTH3PMLL6YCF3P · pith_short_8: 73TTH3PM

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/73TTH3PMLL6YCF3PANVS3MGAM5 \
  | 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: fee733edec5afd81176f036b2db0c06769f958ef8fcce88dc9f58191c5e4d76f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bda9b7f6beb75e9d7104c661e546781912109e53a06339efb4d448781e0a68e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-09T15:10:18Z",
    "title_canon_sha256": "ea24aedec39701ff6c67e9435329becbf25c050cf976a77db098101f0a2aa2e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02204",
    "kind": "arxiv",
    "version": 4
  }
}