Pith Number

pith:EVOOEXKO

pith:2019:EVOOEXKOFMJXFV7VRA6AOO6LR7

not attested not anchored not stored refs pending

On sum-product bases

E. Pramod, Francois Hennecart, Gyan Prakash

arxiv:1904.05908 v1 · 2019-04-11 · 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{EVOOEXKOFMJXFV7VRA6AOO6LR7}

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	2026-05-17T23:48:44.754799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

255ce25d4e2b1372d7f5883c073bcb8fdabd34449e00d2c1840305b77195f482

Aliases

arxiv: 1904.05908 · arxiv_version: 1904.05908v1 · doi: 10.48550/arxiv.1904.05908 · pith_short_12: EVOOEXKOFMJX · pith_short_16: EVOOEXKOFMJXFV7V · pith_short_8: EVOOEXKO

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/EVOOEXKOFMJXFV7VRA6AOO6LR7 \
  | 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: 255ce25d4e2b1372d7f5883c073bcb8fdabd34449e00d2c1840305b77195f482

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c114ef63d2d4291df11f9e8627019dd4ef0664ed5277ad234d534200e6d0af3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-04-11T18:08:19Z",
    "title_canon_sha256": "b630af9e0513a58a0654f3d9c8abb6a0cac5f9ef0fd629bc267eea43a8e65db6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.05908",
    "kind": "arxiv",
    "version": 1
  }
}