Pith Number

pith:FJAYTDVN

pith:2012:FJAYTDVNFIUGKT5VXKTIJGT6TT

not attested not anchored not stored refs pending

Stability and separation in volume comparison problems

Alexander Koldobsky

arxiv:1207.6347 v1 · 2012-07-26 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FJAYTDVNFIUGKT5VXKTIJGT6TT}

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	2026-05-18T03:50:00.467141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a41898ead2a28654fb5baa6849a7e9ce7a8b75c53c5f3ae2b104d3fb01d8983

Aliases

arxiv: 1207.6347 · arxiv_version: 1207.6347v1 · doi: 10.48550/arxiv.1207.6347 · pith_short_12: FJAYTDVNFIUG · pith_short_16: FJAYTDVNFIUGKT5V · pith_short_8: FJAYTDVN

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/FJAYTDVNFIUGKT5VXKTIJGT6TT \
  | 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: 2a41898ead2a28654fb5baa6849a7e9ce7a8b75c53c5f3ae2b104d3fb01d8983

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d41f81cb13b146f25119c3708c07fa113cd2e677e94790be1a019691a74065b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-07-26T17:42:47Z",
    "title_canon_sha256": "e4d275edc7b35d36a1e8cc74f26d1a5421af16b450815fa67fc8a201edc03dc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6347",
    "kind": "arxiv",
    "version": 1
  }
}