Pith Number

pith:L6IAZTC4

pith:2006:L6IAZTC4QXZV6A7OCG45BZQJA4

not attested not anchored not stored refs pending

Diophantine approximation on planar curves: the convergence theory

R.C. Vaughan, S.L. Velani

arxiv:math/0602225 v1 · 2006-02-10 · 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{L6IAZTC4QXZV6A7OCG45BZQJA4}

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	2026-05-17T23:44:49.780794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f900ccc5c85f35f03ee11b9d0e609071a32ff696ea044154456ff593546099a

Aliases

arxiv: math/0602225 · arxiv_version: math/0602225v1 · doi: 10.48550/arxiv.math/0602225 · pith_short_12: L6IAZTC4QXZV · pith_short_16: L6IAZTC4QXZV6A7O · pith_short_8: L6IAZTC4

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/L6IAZTC4QXZV6A7OCG45BZQJA4 \
  | 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: 5f900ccc5c85f35f03ee11b9d0e609071a32ff696ea044154456ff593546099a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22ea618d6828bf80735845b2e9588c3a311f082ae6fe50ff64841c254c71ae30",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2006-02-10T17:49:45Z",
    "title_canon_sha256": "bdcfb418dfb96c6f868a8b9ec25a9d561233d3b25b30023760ddb253d4d76764"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0602225",
    "kind": "arxiv",
    "version": 1
  }
}