Pith Number

pith:POO7EH5C

pith:2026:POO7EH5CBYO4SANWUACWTETW3Q

not attested not anchored not stored refs pending

Bricks that every removable edge is solitary

Fuliang Lu, Jinxin Xue, Jun Ge, Yaxian Zhang

arxiv:2608.12832 v1 · 2026-08-13 · 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{POO7EH5CBYO4SANWUACWTETW3Q}

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	2026-08-14T00:48:54.911021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b9df21fa20e1dc901b6a005699276dc3f9db274e5c5f0dbf78ed8961a2da10c

Aliases

arxiv: 2608.12832 · arxiv_version: 2608.12832v1 · doi: 10.48550/arxiv.2608.12832 · pith_short_12: POO7EH5CBYO4 · pith_short_16: POO7EH5CBYO4SANW · pith_short_8: POO7EH5C

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/POO7EH5CBYO4SANWUACWTETW3Q \
  | 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: 7b9df21fa20e1dc901b6a005699276dc3f9db274e5c5f0dbf78ed8961a2da10c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32cc06ad8f8944b77ed7575850c14446aaab1de9e2413c9e260960b84216b42d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-13T05:10:49Z",
    "title_canon_sha256": "90d4460d55adb7bd712a94c15baf20a4b3ebd9cd1ef2ed795c56ab477ec54af1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.12832",
    "kind": "arxiv",
    "version": 1
  }
}