Pith Number

pith:6UPE5H3L

pith:2016:6UPE5H3LHOSUVMDF4E3NNOEZWR

not attested not anchored not stored refs pending

Sparse generalised polynomials

Jakub Byszewski, Jakub Konieczny

arxiv:1612.00073 v1 · 2016-11-30 · math.NT · math.CO · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6UPE5H3LHOSUVMDF4E3NNOEZWR}

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	2026-05-18T00:56:06.905906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f51e4e9f6b3ba54ab065e136d6b899b47720886a31d0c2e9c99b77e3f19b3816

Aliases

arxiv: 1612.00073 · arxiv_version: 1612.00073v1 · doi: 10.48550/arxiv.1612.00073 · pith_short_12: 6UPE5H3LHOSU · pith_short_16: 6UPE5H3LHOSUVMDF · pith_short_8: 6UPE5H3L

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/6UPE5H3LHOSUVMDF4E3NNOEZWR \
  | 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: f51e4e9f6b3ba54ab065e136d6b899b47720886a31d0c2e9c99b77e3f19b3816

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d4222f086daeaf309e83a197e3a58b12720d2f7e015211f18ea576f19582c7d",
    "cross_cats_sorted": [
      "math.CO",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-11-30T23:12:43Z",
    "title_canon_sha256": "ea730e3e4735ac436be6699065e0e0cd97ce260309b56e688dcd909c61417193"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00073",
    "kind": "arxiv",
    "version": 1
  }
}