Pith Number

pith:DVYFLEVX

pith:2010:DVYFLEVXEUGS5OZ6KJ7YZWR7UL

not attested not anchored not stored refs pending

Linear equations over multiplicative groups, recurrences, and mixing I

David Masser, Harm Derksen

arxiv:1010.4519 v1 · 2010-10-21 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DVYFLEVXEUGS5OZ6KJ7YZWR7UL}

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	2026-05-18T02:58:01.633191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d705592b7250d2ebb3e527f8cda3fa2c7ffa7dfd11d17b1c1f5ecc8ed733625

Aliases

arxiv: 1010.4519 · arxiv_version: 1010.4519v1 · doi: 10.48550/arxiv.1010.4519 · pith_short_12: DVYFLEVXEUGS · pith_short_16: DVYFLEVXEUGS5OZ6 · pith_short_8: DVYFLEVX

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/DVYFLEVXEUGS5OZ6KJ7YZWR7UL \
  | 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: 1d705592b7250d2ebb3e527f8cda3fa2c7ffa7dfd11d17b1c1f5ecc8ed733625

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80346ab8745e685bb3479446dc3321e7645698550460fc61594b9284592b288a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-10-21T16:38:25Z",
    "title_canon_sha256": "bbff014b9663af053fa6647a8affb4370578197c3e891c230e12eabf5eb6b04c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4519",
    "kind": "arxiv",
    "version": 1
  }
}