Pith Number

pith:6DSMYRXH

pith:2010:6DSMYRXHMFA7L4ANYJ2CJMQJPP

not attested not anchored not stored refs pending

A short proof of Levinson's theorem

Matthew P Young

arxiv:1002.4403 v1 · 2010-02-23 · 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{6DSMYRXHMFA7L4ANYJ2CJMQJPP}

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	2026-05-18T03:29:51.390040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0e4cc46e76141f5f00dc27424b2097bd8c1c4931cc7a8bf88eb91b9abc1ac5d

Aliases

arxiv: 1002.4403 · arxiv_version: 1002.4403v1 · doi: 10.48550/arxiv.1002.4403 · pith_short_12: 6DSMYRXHMFA7 · pith_short_16: 6DSMYRXHMFA7L4AN · pith_short_8: 6DSMYRXH

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/6DSMYRXHMFA7L4ANYJ2CJMQJPP \
  | 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: f0e4cc46e76141f5f00dc27424b2097bd8c1c4931cc7a8bf88eb91b9abc1ac5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7c6247599310b27a1a02dc29416d9e3d06a1ee0d3f343c33dc1b82ca3baf724",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-02-23T20:38:42Z",
    "title_canon_sha256": "24711f5af1d614bb2c7e2b1484f8daf69f28bcc5caf8346576aad8fc8f7a9a35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.4403",
    "kind": "arxiv",
    "version": 1
  }
}