Pith Number

pith:PSY2LJJ7

pith:2012:PSY2LJJ7FV3DWFPL4642LD2BLL

not attested not anchored not stored refs pending

A shorter proof of Lemma A.6 (arXiv:1005.0768)

Tom Fischer

arxiv:1206.4917 v1 · 2012-06-21 · q-fin.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PSY2LJJ7FV3DWFPL4642LD2BLL}

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	2026-05-18T03:52:53.931770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cb1a5a53f2d763b15ebe7b9a58f415ae25637883abf35c1eb0004c6a48b6fd2

Aliases

arxiv: 1206.4917 · arxiv_version: 1206.4917v1 · doi: 10.48550/arxiv.1206.4917 · pith_short_12: PSY2LJJ7FV3D · pith_short_16: PSY2LJJ7FV3DWFPL · pith_short_8: PSY2LJJ7

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/PSY2LJJ7FV3DWFPL4642LD2BLL \
  | 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: 7cb1a5a53f2d763b15ebe7b9a58f415ae25637883abf35c1eb0004c6a48b6fd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "532bd1fd1aaa1bb149b86ff2dc23c9f741d139f76e831f737430da2e808978c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2012-06-21T15:37:20Z",
    "title_canon_sha256": "0a4e64197fdfae87a349485b6b55f3ace3be737983ed4be741836724cfc69dd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4917",
    "kind": "arxiv",
    "version": 1
  }
}