Pith Number

pith:I77VO6A5

pith:2020:I77VO6A5ZM6PHANNT5OXTX2JZF

not attested not anchored not stored refs pending

Generalized Fitch Graphs III: Symmetrized Fitch maps and Sets of Symmetric Binary Relations that are explained by Unrooted Edge-labeled Trees

Carsten R. Seemann, Marc Hellmuth, Peter F. Stadler

arxiv:2001.05921 v3 · 2020-01-16 · cs.DM · cs.CC · cs.DS · 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{I77VO6A5ZM6PHANNT5OXTX2JZF}

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	2026-07-05T06:23:28.836623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47ff57781dcb3cf381ad9f5d79df49c968e565a27b2ee48d9b72b2a3ad741af5

Aliases

arxiv: 2001.05921 · arxiv_version: 2001.05921v3 · doi: 10.48550/arxiv.2001.05921 · pith_short_12: I77VO6A5ZM6P · pith_short_16: I77VO6A5ZM6PHANN · pith_short_8: I77VO6A5

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/I77VO6A5ZM6PHANNT5OXTX2JZF \
  | 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: 47ff57781dcb3cf381ad9f5d79df49c968e565a27b2ee48d9b72b2a3ad741af5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae2680a224f7127bf77aa84b89aa045b190dd52f1c452057e984f2293f907d1f",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DS",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2020-01-16T16:14:36Z",
    "title_canon_sha256": "4bd019183c7ed771e48c567efb784a28ec8a297742be5fcd49c37a9a3bc54f46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.05921",
    "kind": "arxiv",
    "version": 3
  }
}