Pith Number

pith:HPBZP6WP

pith:2016:HPBZP6WPOKHNQAE3SBKRYY3ITM

not attested not anchored not stored refs pending

Integer-valued polynomials on commutative rings and modules

Jesse Elliott

arxiv:1608.00171 v1 · 2016-07-30 · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HPBZP6WPOKHNQAE3SBKRYY3ITM}

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	2026-05-18T01:10:12.337793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bc397facf728ed8009b90551c63689b3e1f3c97e77648edaba7052fd60871b3

Aliases

arxiv: 1608.00171 · arxiv_version: 1608.00171v1 · doi: 10.48550/arxiv.1608.00171 · pith_short_12: HPBZP6WPOKHN · pith_short_16: HPBZP6WPOKHNQAE3 · pith_short_8: HPBZP6WP

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/HPBZP6WPOKHNQAE3SBKRYY3ITM \
  | 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: 3bc397facf728ed8009b90551c63689b3e1f3c97e77648edaba7052fd60871b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9db18cea4d00eccb8f94927e3cd6cefddaeee91c0006b572cd620ea61e8676e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-07-30T23:25:53Z",
    "title_canon_sha256": "ddbbc6c5d3aa1801af0445888c1e5e277b37aaa8547abbe67830d7d5ef896907"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00171",
    "kind": "arxiv",
    "version": 1
  }
}