Pith Number

pith:FAJGYQFB

pith:2017:FAJGYQFBSCFSHEYLJ7PLSOHCUJ

not attested not anchored not stored refs pending

Products of Differences over Arbitrary Finite Fields

Brendan Murphy, Giorgis Petridis

arxiv:1705.06581 v3 · 2017-05-18 · math.CO · 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{FAJGYQFBSCFSHEYLJ7PLSOHCUJ}

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	2026-05-18T00:00:45.337489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28126c40a1908b23930b4fdeb938e2a26a6a1f32aefc6dbbf8cbb2d1c177689c

Aliases

arxiv: 1705.06581 · arxiv_version: 1705.06581v3 · doi: 10.48550/arxiv.1705.06581 · pith_short_12: FAJGYQFBSCFS · pith_short_16: FAJGYQFBSCFSHEYL · pith_short_8: FAJGYQFB

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/FAJGYQFBSCFSHEYLJ7PLSOHCUJ \
  | 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: 28126c40a1908b23930b4fdeb938e2a26a6a1f32aefc6dbbf8cbb2d1c177689c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "210c8d70fec7f2457784e2c28a41664a8266bb028ee67b352d73cb268758d49b",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-18T13:20:26Z",
    "title_canon_sha256": "945e45372db9cbf9c7ce77d7b023a6cd3f857eb01c7b044d0b96f7f35338f495"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06581",
    "kind": "arxiv",
    "version": 3
  }
}