Pith Number

pith:RG4OJML6

pith:2013:RG4OJML6SVPXZTNDBTX2YQONTR

not attested not anchored not stored refs pending

Zero forcing for sign patterns

Abraham Berman, Felix Goldberg

arxiv:1307.2198 v1 · 2013-07-08 · 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{RG4OJML6SVPXZTNDBTX2YQONTR}

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	2026-05-18T03:19:02.115648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89b8e4b17e955f7ccda30cefac41cd9c627b670e54022d02c049fcc2aacf75b1

Aliases

arxiv: 1307.2198 · arxiv_version: 1307.2198v1 · doi: 10.48550/arxiv.1307.2198 · pith_short_12: RG4OJML6SVPX · pith_short_16: RG4OJML6SVPXZTND · pith_short_8: RG4OJML6

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/RG4OJML6SVPXZTNDBTX2YQONTR \
  | 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: 89b8e4b17e955f7ccda30cefac41cd9c627b670e54022d02c049fcc2aacf75b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f06d8fde02565f2baab03dcedde45f8834f580becac9a389c515e1621a822b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-08T18:25:26Z",
    "title_canon_sha256": "09896007ff4fbad40cd6f4785da3f5aa7760a58e067ea659094fcb0df2e5ac9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2198",
    "kind": "arxiv",
    "version": 1
  }
}