Pith Number

pith:GTE7HT6S

pith:2002:GTE7HT6S5ZXYTSQ3S5W424LT4Y

not attested not anchored not stored refs pending

A negative answer to Nevanlinna's type question and a parabolic surface with a lot of negative curvature

Itai Benjamini, Oded Schramm, Sergei Merenkov

arxiv:math/0209334 v2 · 2002-09-25 · 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{GTE7HT6S5ZXYTSQ3S5W424LT4Y}

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	2026-07-04T14:36:28.725869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34c9f3cfd2ee6f89ca1b976dcd7173e61722bf2598f49ab9403d5c33bb710cca

Aliases

arxiv: math/0209334 · arxiv_version: math/0209334v2 · doi: 10.48550/arxiv.math/0209334 · pith_short_12: GTE7HT6S5ZXY · pith_short_16: GTE7HT6S5ZXYTSQ3 · pith_short_8: GTE7HT6S

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/GTE7HT6S5ZXYTSQ3S5W424LT4Y \
  | 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: 34c9f3cfd2ee6f89ca1b976dcd7173e61722bf2598f49ab9403d5c33bb710cca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88d01d12021d22a716b94ce850474750d9e75c8674b9da84b805b434f3a943e3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "2002-09-25T02:49:43Z",
    "title_canon_sha256": "a89534236bb01cfae95f45bbd58156b7536ce5171c7d3c881b087e49117bd26b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0209334",
    "kind": "arxiv",
    "version": 2
  }
}