Pith Number

pith:PKNNIIPI

pith:2012:PKNNIIPIUL6KXCH2LPPO4HLFH4

not attested not anchored not stored refs pending

Sets avoiding integral distances

Sascha Kurz, Valery Mishkin

arxiv:1204.0403 v2 · 2012-04-02 · 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{PKNNIIPIUL6KXCH2LPPO4HLFH4}

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	2026-05-18T02:21:16.623788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a9ad421e8a2fcab88fa5bdeee1d653f1946acab9bc81353c659e1b11e620065

Aliases

arxiv: 1204.0403 · arxiv_version: 1204.0403v2 · doi: 10.48550/arxiv.1204.0403 · pith_short_12: PKNNIIPIUL6K · pith_short_16: PKNNIIPIUL6KXCH2 · pith_short_8: PKNNIIPI

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/PKNNIIPIUL6KXCH2LPPO4HLFH4 \
  | 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: 7a9ad421e8a2fcab88fa5bdeee1d653f1946acab9bc81353c659e1b11e620065

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "384555500fb9ae9285065d1aae6d8faf0266524160531ba926379a0c940639b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-04-02T13:18:18Z",
    "title_canon_sha256": "1f97befc0ba4b0be44f363450ad13a15552fd218733b71448992c827f5a963cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0403",
    "kind": "arxiv",
    "version": 2
  }
}