Pith Number

pith:CO4ANYAE

pith:2014:CO4ANYAEX7VBCFFJSJVKTR22A7

not attested not anchored not stored refs pending

Upper bounds on the k-forcing number of a graph

David Amos, Randy Davila, Ryan Pepper, Yair Caro

arxiv:1401.6206 v1 · 2014-01-23 · 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{CO4ANYAEX7VBCFFJSJVKTR22A7}

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	2026-05-18T03:01:12.889072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13b806e004bfea1114a9926aa9c75a07deee8fcdeeb8765458dec9caa2fa9510

Aliases

arxiv: 1401.6206 · arxiv_version: 1401.6206v1 · doi: 10.48550/arxiv.1401.6206 · pith_short_12: CO4ANYAEX7VB · pith_short_16: CO4ANYAEX7VBCFFJ · pith_short_8: CO4ANYAE

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/CO4ANYAEX7VBCFFJSJVKTR22A7 \
  | 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: 13b806e004bfea1114a9926aa9c75a07deee8fcdeeb8765458dec9caa2fa9510

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e947c56dd93e2f81eaba92939726dbfcea7ea6edbe817079085d0a0fcab93b4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-01-23T22:33:22Z",
    "title_canon_sha256": "f0138b89b2a1ca52bae90e7835039b2f7938f513dedc55d00bd95a059a5aa27b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.6206",
    "kind": "arxiv",
    "version": 1
  }
}