Pith Number

pith:76WBZASM

pith:2012:76WBZASMXNEOKOQ6ZQHR6YFEE2

not attested not anchored not stored refs pending

Connecting Interpolation and Multiplicity Estimates in Commutative Algebraic Groups

Michael Nakamaye, St\'ephane Fischler (LM-Orsay)

arxiv:1209.2354 v1 · 2012-09-11 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{76WBZASMXNEOKOQ6ZQHR6YFEE2}

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	2026-05-18T03:45:52.117547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffac1c824cbb48e53a1ecc0f1f60a426a5250b298c32fa94e2defa7814f28423

Aliases

arxiv: 1209.2354 · arxiv_version: 1209.2354v1 · doi: 10.48550/arxiv.1209.2354 · pith_short_12: 76WBZASMXNEO · pith_short_16: 76WBZASMXNEOKOQ6 · pith_short_8: 76WBZASM

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/76WBZASMXNEOKOQ6ZQHR6YFEE2 \
  | 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: ffac1c824cbb48e53a1ecc0f1f60a426a5250b298c32fa94e2defa7814f28423

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d4dd755fdce6610831358f8df5a4dabb5ebfeeef6f5bc3789d97828fd5170a9",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-09-11T15:45:49Z",
    "title_canon_sha256": "eeb189a64f3468b5e9d6e281a3d638b1fe6dd3be5552ad65eaa3d4f6b27c83c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2354",
    "kind": "arxiv",
    "version": 1
  }
}