Pith Number

pith:HAFAHGLJ

pith:2026:HAFAHGLJWKFFRAYXYPCNK6EYSH

not attested not anchored not stored refs pending

A single $3$-graph with infinite stability number

Heng Li, Xizhi Liu

arxiv:2605.21877 v1 · 2026-05-21 · 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{HAFAHGLJWKFFRAYXYPCNK6EYSH}

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	2026-05-22T01:04:12.614065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

380a039969b28a588317c3c4d5789891dbfaa3d025b844b20fceebb7992c4b16

Aliases

arxiv: 2605.21877 · arxiv_version: 2605.21877v1 · doi: 10.48550/arxiv.2605.21877 · pith_short_12: HAFAHGLJWKFF · pith_short_16: HAFAHGLJWKFFRAYX · pith_short_8: HAFAHGLJ

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/HAFAHGLJWKFFRAYXYPCNK6EYSH \
  | 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: 380a039969b28a588317c3c4d5789891dbfaa3d025b844b20fceebb7992c4b16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c302e57823a80a31f5a79fb997069635d0e694344de1e2d64001847e887bf84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-21T01:40:18Z",
    "title_canon_sha256": "307a617b36cb33b043ec2fe2f1bd6be73a17c8982fbf52f1cb68eec2c114bbf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21877",
    "kind": "arxiv",
    "version": 1
  }
}