Pith Number

pith:4R6SJUJC

pith:2013:4R6SJUJCI4QO7FY4JOOWURZVGU

not attested not anchored not stored refs pending

Elasticity in polynomial-type extensions

Jim Coykendall, Mark Batell

arxiv:1302.4766 v1 · 2013-02-19 · 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{4R6SJUJCI4QO7FY4JOOWURZVGU}

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	2026-05-18T03:33:11.123210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e47d24d1224720ef971c4b9d6a473535043518465bb61b5763e9ffaedf46a139

Aliases

arxiv: 1302.4766 · arxiv_version: 1302.4766v1 · doi: 10.48550/arxiv.1302.4766 · pith_short_12: 4R6SJUJCI4QO · pith_short_16: 4R6SJUJCI4QO7FY4 · pith_short_8: 4R6SJUJC

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/4R6SJUJCI4QO7FY4JOOWURZVGU \
  | 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: e47d24d1224720ef971c4b9d6a473535043518465bb61b5763e9ffaedf46a139

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76d05d7fcbd2ff98213782e03076b55a72b722bfcf08e6c8a7720f5c1a8f3131",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-02-19T22:15:58Z",
    "title_canon_sha256": "23c7a9d53889f4f78a2dcc13ca947a3e63ac0e4343e77d0e2f4584387d55fe8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4766",
    "kind": "arxiv",
    "version": 1
  }
}