Pith Number

pith:77WWCW63

pith:2018:77WWCW637KYMYINEJ6RJ4AWTSQ

not attested not anchored not stored refs pending

Optimal density for values of generic polynomial maps

Alexander Gorodnik, Amos Nevo, Anish Ghosh

arxiv:1801.01027 v1 · 2018-01-03 · 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{77WWCW637KYMYINEJ6RJ4AWTSQ}

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	2026-05-18T00:26:48.035068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffed615bdbfab0cc21a44fa29e02d3943f9f13e8b55d30311bde276c9d65d836

Aliases

arxiv: 1801.01027 · arxiv_version: 1801.01027v1 · doi: 10.48550/arxiv.1801.01027 · pith_short_12: 77WWCW637KYM · pith_short_16: 77WWCW637KYMYINE · pith_short_8: 77WWCW63

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/77WWCW637KYMYINEJ6RJ4AWTSQ \
  | 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: ffed615bdbfab0cc21a44fa29e02d3943f9f13e8b55d30311bde276c9d65d836

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ae10033dbd235f6d7308136b085807669fe2db63ab9cba5afa1a9e702fe8971",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-01-03T14:43:55Z",
    "title_canon_sha256": "c51d2cf6383a06f3ef1f532255d6a516b4dc1a9a15ba5ca091b0eb2fe3bea3f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.01027",
    "kind": "arxiv",
    "version": 1
  }
}