Pith Number

pith:JBS5UYK7

pith:2012:JBS5UYK7T62BMY2E7ROD2CUY5F

not attested not anchored not stored refs pending

Bounds on Characteristic Polynomials

Fengwei Zhou, Suijie Wang, Yeong-Nan Yeh

arxiv:1209.5185 v4 · 2012-09-24 · 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{JBS5UYK7T62BMY2E7ROD2CUY5F}

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	2026-05-18T01:34:13.796586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4865da615f9fb4166344fc5c3d0a98e94fdc214f6e2b8e29cbf78fd48f5505b2

Aliases

arxiv: 1209.5185 · arxiv_version: 1209.5185v4 · doi: 10.48550/arxiv.1209.5185 · pith_short_12: JBS5UYK7T62B · pith_short_16: JBS5UYK7T62BMY2E · pith_short_8: JBS5UYK7

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/JBS5UYK7T62BMY2E7ROD2CUY5F \
  | 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: 4865da615f9fb4166344fc5c3d0a98e94fdc214f6e2b8e29cbf78fd48f5505b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc6f117cec38fc3c6d1443ab77c412518f8aa66f68cb83801c7ff519b94399d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-24T08:17:05Z",
    "title_canon_sha256": "e2ed87eb38d02f0707ee447ef1cbaa38ab309c4e47df35c2e268d59e03271cc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5185",
    "kind": "arxiv",
    "version": 4
  }
}