Pith Number

pith:I52HLTFE

pith:2010:I52HLTFENSQVJB3LGG3XYKXHAR

not attested not anchored not stored refs pending

Polynomial estimates, exponential curves and Diophantine approximation

Dan Coman, Evgeny A. Poletsky

arxiv:1009.4408 v1 · 2010-09-22 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I52HLTFENSQVJB3LGG3XYKXHAR}

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	2026-05-18T04:40:33.177649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

477475cca46ca154876b31b77c2ae7044b77dc2b59dc09cda870d3b3aa8d4100

Aliases

arxiv: 1009.4408 · arxiv_version: 1009.4408v1 · doi: 10.48550/arxiv.1009.4408 · pith_short_12: I52HLTFENSQV · pith_short_16: I52HLTFENSQVJB3L · pith_short_8: I52HLTFE

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/I52HLTFENSQVJB3LGG3XYKXHAR \
  | 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: 477475cca46ca154876b31b77c2ae7044b77dc2b59dc09cda870d3b3aa8d4100

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce984e0b60322034a99e8fdae1d86902c0a58c29f836a37a3f77e6ff3bc61c77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-09-22T16:21:03Z",
    "title_canon_sha256": "cff5c7968fc6d3c852a3c36b6a0a7c7eff2c0e295c65c03e2e63eda9f11ec71d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4408",
    "kind": "arxiv",
    "version": 1
  }
}