Pith Number

pith:G5DF5I2S

pith:2009:G5DF5I2SJJVGYDR2DLYRI27CUF

not attested not anchored not stored refs pending

Exponential Sums and Polynomial Congruences Along p-adic Submanifolds

Dirk Segers, W. A. Zuniga-Galindo

arxiv:0910.1887 v2 · 2009-10-10 · math.AG · 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{G5DF5I2SJJVGYDR2DLYRI27CUF}

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	2026-05-18T04:31:22.652806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37465ea3524a6a6c0e3a1af1146be2a15e872fed51d8d8953dcdc443af68e31e

Aliases

arxiv: 0910.1887 · arxiv_version: 0910.1887v2 · doi: 10.48550/arxiv.0910.1887 · pith_short_12: G5DF5I2SJJVG · pith_short_16: G5DF5I2SJJVGYDR2 · pith_short_8: G5DF5I2S

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/G5DF5I2SJJVGYDR2DLYRI27CUF \
  | 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: 37465ea3524a6a6c0e3a1af1146be2a15e872fed51d8d8953dcdc443af68e31e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "117fd38ed7dc3d9bba7daf4971318bbfa4fedd60ce37f51d1ac0b0e199f2a10f",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-10-10T00:50:59Z",
    "title_canon_sha256": "fbfcb070cb68b96c209be382b17ee1c0d3eb16e67c3b533f5719d57659ccd8a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.1887",
    "kind": "arxiv",
    "version": 2
  }
}