Pith Number

pith:DGJO5EIC

pith:2014:DGJO5EICUJLEKPODBSCZL77B5T

not attested not anchored not stored refs pending

Polynomial multiple recurrence over rings of integers

Donald Robertson, Vitaly Bergelson

arxiv:1409.7569 v1 · 2014-09-26 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DGJO5EICUJLEKPODBSCZL77B5T}

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	2026-05-18T02:41:52.395561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1992ee9102a256453dc30c8595ffe1ecca4d8f4f650d0609f1beff3315107c75

Aliases

arxiv: 1409.7569 · arxiv_version: 1409.7569v1 · doi: 10.48550/arxiv.1409.7569 · pith_short_12: DGJO5EICUJLE · pith_short_16: DGJO5EICUJLEKPOD · pith_short_8: DGJO5EIC

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/DGJO5EICUJLEKPODBSCZL77B5T \
  | 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: 1992ee9102a256453dc30c8595ffe1ecca4d8f4f650d0609f1beff3315107c75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff169eeb2a2931075df1bc0f4f66f5cf49fd5cb34623aab30444574108b5b0b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-09-26T13:47:54Z",
    "title_canon_sha256": "172b2a5d2805ec1c3d826c18c5e938b5c415225e8ea53b528f536b744e3e5bef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7569",
    "kind": "arxiv",
    "version": 1
  }
}