Pith Number

pith:LTDDNNRL

pith:2018:LTDDNNRLSUKXTYXGNSMJSCX4BM

not attested not anchored not stored refs pending

Ubiquity in graphs I: Topological ubiquity of trees

Christian Elbracht, Joshua Erde, Karl Heuer, Maximilian Teegen, Max Pitz, Nathan Bowler, Pascal Gollin

arxiv:1806.04008 v1 · 2018-06-11 · 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{LTDDNNRLSUKXTYXGNSMJSCX4BM}

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	2026-05-18T00:13:38.845291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cc636b62b951579e2e66c98990afc0b113dcc3449fabbe54232f44bbe605b99

Aliases

arxiv: 1806.04008 · arxiv_version: 1806.04008v1 · doi: 10.48550/arxiv.1806.04008 · pith_short_12: LTDDNNRLSUKX · pith_short_16: LTDDNNRLSUKXTYXG · pith_short_8: LTDDNNRL

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/LTDDNNRLSUKXTYXGNSMJSCX4BM \
  | 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: 5cc636b62b951579e2e66c98990afc0b113dcc3449fabbe54232f44bbe605b99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4304b9d1d553592338466c3a168d9b588532e0ffa5dde080a7700056ce7fe4e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-11T14:15:57Z",
    "title_canon_sha256": "f0557036b05f581796cafd56874d8bf574d44af3149c7a1385afebe5b8f00832"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.04008",
    "kind": "arxiv",
    "version": 1
  }
}