Pith Number

pith:C22OKK7S

pith:2018:C22OKK7SAFRJRGXXJDKCKARMGJ

not attested not anchored not stored refs pending

Trees in the Real Field

Alessandro Betti, Marco Gori

arxiv:1807.06440 v1 · 2018-07-11 · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C22OKK7SAFRJRGXXJDKCKARMGJ}

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	2026-05-18T00:10:33.029105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16b4e52bf20162989af748d425022c3276a6d0ac3615751c084748846fd6e188

Aliases

arxiv: 1807.06440 · arxiv_version: 1807.06440v1 · doi: 10.48550/arxiv.1807.06440 · pith_short_12: C22OKK7SAFRJ · pith_short_16: C22OKK7SAFRJRGXX · pith_short_8: C22OKK7S

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/C22OKK7SAFRJRGXXJDKCKARMGJ \
  | 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: 16b4e52bf20162989af748d425022c3276a6d0ac3615751c084748846fd6e188

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e52de949a08879aa3ef8b8635e1b87543f51f204138dd777fe5d0d3b5e9e9929",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-07-11T14:04:40Z",
    "title_canon_sha256": "fb301b63818800d4b39c6a7fb87d6676da66de03385c45efa848c1ddcec95bac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.06440",
    "kind": "arxiv",
    "version": 1
  }
}