Pith Number

pith:HFJ6TVEV

pith:2011:HFJ6TVEV4PSKOKJM5I55XPU2ID

not attested not anchored not stored refs pending

On finding many solutions to S-unit equations by solving linear equations on average

Adam J. Harper

arxiv:1108.3819 v1 · 2011-08-18 · 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{HFJ6TVEV4PSKOKJM5I55XPU2ID}

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	2026-05-18T04:15:07.417129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3953e9d495e3e4a7292cea3bdbbe9a40f3312b901a163f0599bc09e9e2e08365

Aliases

arxiv: 1108.3819 · arxiv_version: 1108.3819v1 · doi: 10.48550/arxiv.1108.3819 · pith_short_12: HFJ6TVEV4PSK · pith_short_16: HFJ6TVEV4PSKOKJM · pith_short_8: HFJ6TVEV

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/HFJ6TVEV4PSKOKJM5I55XPU2ID \
  | 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: 3953e9d495e3e4a7292cea3bdbbe9a40f3312b901a163f0599bc09e9e2e08365

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b8049320eca507d3664c97f7bfb302992320dd9e8e386d481b5e0305593bb3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-08-18T19:21:14Z",
    "title_canon_sha256": "29ac6d397536dbbc4e87f6795d1a36999557e8107c842cc62cfdafbb6a40b0aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3819",
    "kind": "arxiv",
    "version": 1
  }
}