Pith Number

pith:GWZKG5BF

pith:2016:GWZKG5BF3ND3EIP6JIXJE2F3OZ

not attested not anchored not stored refs pending

Zeroes and rational points of analytic functions

Georges Comte, Yosef Yomdin

arxiv:1608.02455 v2 · 2016-08-08 · 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{GWZKG5BF3ND3EIP6JIXJE2F3OZ}

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	2026-05-18T00:27:53.218910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35b2a37425db47b221fe4a2e9268bb767d309e63f12b21914a822249aa9fb64c

Aliases

arxiv: 1608.02455 · arxiv_version: 1608.02455v2 · doi: 10.48550/arxiv.1608.02455 · pith_short_12: GWZKG5BF3ND3 · pith_short_16: GWZKG5BF3ND3EIP6 · pith_short_8: GWZKG5BF

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/GWZKG5BF3ND3EIP6JIXJE2F3OZ \
  | 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: 35b2a37425db47b221fe4a2e9268bb767d309e63f12b21914a822249aa9fb64c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b4e581ee200faf8d6223b32b02e8459ad4f6ad24b37c31672ac75ee57f26656",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-08-08T14:39:24Z",
    "title_canon_sha256": "3986e1d1c5874b3e314d156777c6b38af1e858bdd1b4a0ad6ff18a96105f78dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02455",
    "kind": "arxiv",
    "version": 2
  }
}