Pith Number

pith:REYV3G3M

pith:2018:REYV3G3MCSHTZ4OKKDHF2UMWDW

not attested not anchored not stored refs pending

Upward Planar Morphs

Fabrizio Frati, Giordano Da Lozzo, Giuseppe Di Battista, Maurizio Patrignani, Vincenzo Roselli

arxiv:1808.10826 v3 · 2018-08-31 · cs.DS · cs.CG · 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{REYV3G3MCSHTZ4OKKDHF2UMWDW}

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	2026-05-18T00:03:31.685697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89315d9b6c148f3cf1ca50ce5d51961daaaa017d998eb92130603ba95c4357c7

Aliases

arxiv: 1808.10826 · arxiv_version: 1808.10826v3 · doi: 10.48550/arxiv.1808.10826 · pith_short_12: REYV3G3MCSHT · pith_short_16: REYV3G3MCSHTZ4OK · pith_short_8: REYV3G3M

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/REYV3G3MCSHTZ4OKKDHF2UMWDW \
  | 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: 89315d9b6c148f3cf1ca50ce5d51961daaaa017d998eb92130603ba95c4357c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f18d73647a3b04e223fe56b2d39d2d11976736271dcb7634715023c16f6ae7e",
    "cross_cats_sorted": [
      "cs.CG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2018-08-31T16:03:51Z",
    "title_canon_sha256": "79730f15713152eabbf46263b4bea8d61fdba388301055cc1816fe5888e41bea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10826",
    "kind": "arxiv",
    "version": 3
  }
}