Pith Number

pith:AQLPL4MR

pith:1997:AQLPL4MRWEBRTJF2OZ56TJDTPY

not attested not anchored not stored refs pending

Polynomial Retracts and the Jacobian Conjecture

Jie-Tai Yu, Vladimir Shpilrain

arxiv:math/9701210 v1 · 1997-01-14 · math.AC · math.AG · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AQLPL4MRWEBRTJF2OZ56TJDTPY}

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	2026-05-18T01:05:37.290520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0416f5f191b10319a4ba767be9a4737e3d8ca1faa3e821fe64f439f386892476

Aliases

arxiv: math/9701210 · arxiv_version: math/9701210v1 · doi: 10.48550/arxiv.math/9701210 · pith_short_12: AQLPL4MRWEBR · pith_short_16: AQLPL4MRWEBRTJF2 · pith_short_8: AQLPL4MR

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/AQLPL4MRWEBRTJF2OZ56TJDTPY \
  | 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: 0416f5f191b10319a4ba767be9a4737e3d8ca1faa3e821fe64f439f386892476

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ed56ebe5ffc2b4e15bf727cba8fd7b476418e298eb266146f0ccabb31635618",
    "cross_cats_sorted": [
      "math.AG",
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "1997-01-14T00:00:00Z",
    "title_canon_sha256": "a6ac5bef6f5b7c2091441ddb9c6b6adfc5977d9ca587d6b413df9772147362a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9701210",
    "kind": "arxiv",
    "version": 1
  }
}