Pith Number

pith:4ZXJLRNY

pith:2017:4ZXJLRNYMUUP3I33BPSNI6OAZ5

not attested not anchored not stored refs pending

Abhyankar's Work on Dicritical Divisors

David Shannon, William Heinzer

arxiv:1707.06733 v1 · 2017-07-21 · 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{4ZXJLRNYMUUP3I33BPSNI6OAZ5}

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	2026-05-18T00:39:51.833623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e66e95c5b86528fda37b0be4d479c0cf6777248ccef46459af9a682208bdf322

Aliases

arxiv: 1707.06733 · arxiv_version: 1707.06733v1 · doi: 10.48550/arxiv.1707.06733 · pith_short_12: 4ZXJLRNYMUUP · pith_short_16: 4ZXJLRNYMUUP3I33 · pith_short_8: 4ZXJLRNY

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/4ZXJLRNYMUUP3I33BPSNI6OAZ5 \
  | 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: e66e95c5b86528fda37b0be4d479c0cf6777248ccef46459af9a682208bdf322

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73f75c2f5586144193b59934d228f5027268915cc1463b13935e6384f0804c6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-07-21T01:27:23Z",
    "title_canon_sha256": "d51c4f2372e3b972e1358e5e7d0caf7168ce183c61593b2c2e5f9771dab16082"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06733",
    "kind": "arxiv",
    "version": 1
  }
}