Pith Number

pith:KLDPYU7T

pith:2017:KLDPYU7TAN4266QGS26YNE7JRS

not attested not anchored not stored refs pending

On the $1/3-2/3$ Conjecture

Bruce E. Sagan, Emily J. Olson

arxiv:1706.04985 v2 · 2017-06-15 · 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{KLDPYU7TAN4266QGS26YNE7JRS}

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	2026-05-18T00:24:37.645951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52c6fc53f30379af7a0696bd8693e98c89671616da97f43c2a7c31d7cdeb07e7

Aliases

arxiv: 1706.04985 · arxiv_version: 1706.04985v2 · doi: 10.48550/arxiv.1706.04985 · pith_short_12: KLDPYU7TAN42 · pith_short_16: KLDPYU7TAN4266QG · pith_short_8: KLDPYU7T

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/KLDPYU7TAN4266QGS26YNE7JRS \
  | 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: 52c6fc53f30379af7a0696bd8693e98c89671616da97f43c2a7c31d7cdeb07e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff8ee615f68cf8bc77914aed3836db737d7745c41dee685d0e836de7c4842054",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-15T17:38:48Z",
    "title_canon_sha256": "c27a7d82ac369bb2b5378290c6e5b1f2829d83068fc38af0f4cf17bd68d3c9f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04985",
    "kind": "arxiv",
    "version": 2
  }
}