Pith Number

pith:7WPT42KB

pith:2018:7WPT42KBTSGRDPNO3KGFC7FUX7

not attested not anchored not stored refs pending

Colorings and doubled colorings of virtual doodles

Andrew Bartholomew, Naoko Kamada, Roger Fenn, Seiichi Kamada

arxiv:1809.04205 v1 · 2018-09-12 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7WPT42KBTSGRDPNO3KGFC7FUX7}

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	2026-05-18T00:05:55.192535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd9f3e69419c8d11bdaeda8c517cb4bfeb2c76774f2c2879aafb16878e6bf9c4

Aliases

arxiv: 1809.04205 · arxiv_version: 1809.04205v1 · doi: 10.48550/arxiv.1809.04205 · pith_short_12: 7WPT42KBTSGR · pith_short_16: 7WPT42KBTSGRDPNO · pith_short_8: 7WPT42KB

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/7WPT42KBTSGRDPNO3KGFC7FUX7 \
  | 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: fd9f3e69419c8d11bdaeda8c517cb4bfeb2c76774f2c2879aafb16878e6bf9c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b20e5e303df4f07e42e3586d7d34a9ac0ec13300e6722b9bf3bda60b43a0eb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-09-12T00:37:13Z",
    "title_canon_sha256": "f02e3d72c0329415fec4bb8e0d057412676a5aad5c524e61b085753afc499811"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.04205",
    "kind": "arxiv",
    "version": 1
  }
}