Pith Number

pith:SCV4EEE3

pith:2020:SCV4EEE3RNGWJVGKDHOL7JMOY6

not attested not anchored not stored refs pending

Trees and treelike structures in dense digraphs

Richard Mycroft, T\'assio Naia

arxiv:2012.09201 v2 · 2020-12-16 · 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{SCV4EEE3RNGWJVGKDHOL7JMOY6}

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	2026-05-20T02:05:30.859942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90abc2109b8b4d64d4ca19dcbfa58ec79b16b30b56335fa2871e042484d33658

Aliases

arxiv: 2012.09201 · arxiv_version: 2012.09201v2 · doi: 10.48550/arxiv.2012.09201 · pith_short_12: SCV4EEE3RNGW · pith_short_16: SCV4EEE3RNGWJVGK · pith_short_8: SCV4EEE3

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/SCV4EEE3RNGWJVGKDHOL7JMOY6 \
  | 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: 90abc2109b8b4d64d4ca19dcbfa58ec79b16b30b56335fa2871e042484d33658

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4faeaef0e89f2236a1579954185fe96b28e2bc3c6703828f53f00fd7c68e3e12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-12-16T19:01:11Z",
    "title_canon_sha256": "cee71727512bd9fa1063414f0714c2bd7d5af631ab7c585b1581a905d73e5232"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.09201",
    "kind": "arxiv",
    "version": 2
  }
}