Pith Number

pith:ZSHKSELT

pith:2012:ZSHKSELTAQM6ZB4IXZJLYUE3YE

not attested not anchored not stored refs pending

A simple proof of the $A_2$ conjecture

Andrei K. Lerner

arxiv:1202.2824 v3 · 2012-02-13 · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZSHKSELTAQM6ZB4IXZJLYUE3YE}

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	2026-05-18T03:56:22.033066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc8ea911730419ec8788be52bc509bc136e0b30784d8384dcecb6998909138e4

Aliases

arxiv: 1202.2824 · arxiv_version: 1202.2824v3 · doi: 10.48550/arxiv.1202.2824 · pith_short_12: ZSHKSELTAQM6 · pith_short_16: ZSHKSELTAQM6ZB4I · pith_short_8: ZSHKSELT

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/ZSHKSELTAQM6ZB4IXZJLYUE3YE \
  | 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: cc8ea911730419ec8788be52bc509bc136e0b30784d8384dcecb6998909138e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d02f07b4f1bbafb08b96f3a473d5cc98ec76065384672782ce360928f9c818c2",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-02-13T19:25:11Z",
    "title_canon_sha256": "8745dc4125f6f2be0f09bc9f66cde144b3a6a111a29dc7412eaf86826456ab34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2824",
    "kind": "arxiv",
    "version": 3
  }
}