Pith Number

pith:XL2RAOLP

pith:2015:XL2RAOLPQOOY5GG2DVZJPGSIZD

not attested not anchored not stored refs pending

Existence of Dicritical Divisors Revisited

Shreeram S. Abhyankar, William J. Heinzer

arxiv:1508.06015 v1 · 2015-08-25 · 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{XL2RAOLPQOOY5GG2DVZJPGSIZD}

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	2026-05-18T01:34:47.119693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

baf510396f839d8e98da1d72979a48c8fa083c5cff48e38c8ed81cf7a15e1939

Aliases

arxiv: 1508.06015 · arxiv_version: 1508.06015v1 · doi: 10.48550/arxiv.1508.06015 · pith_short_12: XL2RAOLPQOOY · pith_short_16: XL2RAOLPQOOY5GG2 · pith_short_8: XL2RAOLP

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/XL2RAOLPQOOY5GG2DVZJPGSIZD \
  | 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: baf510396f839d8e98da1d72979a48c8fa083c5cff48e38c8ed81cf7a15e1939

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d078f2e3f77b2ac3f50eb045f70e25065bddcab11336bc4b0374d09fbc4d18b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-08-25T02:52:48Z",
    "title_canon_sha256": "b259412dd50f13d88ad2536317245fb7c36f34db9830b2cce3d4c18e95d92c9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06015",
    "kind": "arxiv",
    "version": 1
  }
}