Pith Number

pith:SFGPVFGD

pith:2015:SFGPVFGDGYJPSSDEVYTBZH2HS2

not attested not anchored not stored refs pending

Minimal sufficient sets of colors and minimum number of colors

Jun Ge, Lianzhu Zhang, Louis H. Kauffman, Pedro Lopes, Xian'an Jin

arxiv:1501.02421 v1 · 2015-01-11 · 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{SFGPVFGDGYJPSSDEVYTBZH2HS2}

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	2026-05-18T02:29:38.002805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

914cfa94c33612f94864ae261c9f4796af40aa5caaf1b8e3f032bd75962fe786

Aliases

arxiv: 1501.02421 · arxiv_version: 1501.02421v1 · doi: 10.48550/arxiv.1501.02421 · pith_short_12: SFGPVFGDGYJP · pith_short_16: SFGPVFGDGYJPSSDE · pith_short_8: SFGPVFGD

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/SFGPVFGDGYJPSSDEVYTBZH2HS2 \
  | 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: 914cfa94c33612f94864ae261c9f4796af40aa5caaf1b8e3f032bd75962fe786

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0de69b7f3e2bf124ab317219a7cd8eefec606767c4275211abab8297737e4a9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-01-11T06:26:33Z",
    "title_canon_sha256": "81051602be933bc0d0cc39bd35731a04dc3f233a62dddd0fa045d8355c1f512d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02421",
    "kind": "arxiv",
    "version": 1
  }
}