Pith Number

pith:TMKFWMGG

pith:2009:TMKFWMGGCNIJKVL3S4UIOPQ6CZ

not attested not anchored not stored refs pending

Simultaneous Arithmetic Progressions on Algebraic Curves

Frank de Zeeuw, J\'ozsef Solymosi, Ryan Schwartz

arxiv:0910.0904 v3 · 2009-10-06 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TMKFWMGGCNIJKVL3S4UIOPQ6CZ}

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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	2026-05-18T02:53:54.562195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b145b30c6135095557b9728873e1e1643896eb5b0e420095814150a40333f7f

Aliases

arxiv: 0910.0904 · arxiv_version: 0910.0904v3 · doi: 10.48550/arxiv.0910.0904 · pith_short_12: TMKFWMGGCNIJ · pith_short_16: TMKFWMGGCNIJKVL3 · pith_short_8: TMKFWMGG

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/TMKFWMGGCNIJKVL3S4UIOPQ6CZ \
  | 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: 9b145b30c6135095557b9728873e1e1643896eb5b0e420095814150a40333f7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d542bbe6f9349a8718589a981f1ee8afec0dd7f992266bcb4fbe8df82a75c2e8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-10-06T01:22:13Z",
    "title_canon_sha256": "41093dfbbd528547cc305208813e3191f992e07147751eb5afa8dd16ca33658e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0904",
    "kind": "arxiv",
    "version": 3
  }
}