Pith Number

pith:IAKR42Q7

pith:2019:IAKR42Q7MYZABF2WYSS3XVV2G4

not attested not anchored not stored refs pending

Peripheral convex expansions of resonance graphs

Zhongyuan Che

arxiv:1908.09342 v1 · 2019-08-25 · 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{IAKR42Q7MYZABF2WYSS3XVV2G4}

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	2026-07-04T23:59:39.271541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40151e6a1f6632009756c4a5bbd6ba373f959bfeb7383830a6f7ebd0eea4c6b1

Aliases

arxiv: 1908.09342 · arxiv_version: 1908.09342v1 · doi: 10.48550/arxiv.1908.09342 · pith_short_12: IAKR42Q7MYZA · pith_short_16: IAKR42Q7MYZABF2W · pith_short_8: IAKR42Q7

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/IAKR42Q7MYZABF2WYSS3XVV2G4 \
  | 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: 40151e6a1f6632009756c4a5bbd6ba373f959bfeb7383830a6f7ebd0eea4c6b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0306d6249e672f48ff12b102925c415e1dfc3476da3587fcfe59ed3d59283d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-25T14:57:18Z",
    "title_canon_sha256": "485e9c65160bb09f294fc044800cf90a118f4809cde0dce2ea36c65b8343f65f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09342",
    "kind": "arxiv",
    "version": 1
  }
}