Pith Number

pith:KARDNRWO

pith:2015:KARDNRWOOSMNGJXOQUDC7RTXLW

not attested not anchored not stored refs pending

Theta vocabulary II. Multidimensional case

A. Zabrodin, S. Kharchev

arxiv:1510.02699 v1 · 2015-10-09 · math.CV · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KARDNRWOOSMNGJXOQUDC7RTXLW}

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	2026-05-18T01:18:42.569522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

502236c6ce7498d326ee85062fc6775dba5f2bf7bbd6676aa80241d1d5b98579

Aliases

arxiv: 1510.02699 · arxiv_version: 1510.02699v1 · doi: 10.48550/arxiv.1510.02699 · pith_short_12: KARDNRWOOSMN · pith_short_16: KARDNRWOOSMNGJXO · pith_short_8: KARDNRWO

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/KARDNRWOOSMNGJXOQUDC7RTXLW \
  | 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: 502236c6ce7498d326ee85062fc6775dba5f2bf7bbd6676aa80241d1d5b98579

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0326cf4485ef4d4a2d4dfaad1db524f90ebe26b3155461843cc871a903e28362",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-10-09T15:12:15Z",
    "title_canon_sha256": "50b3f4a2ab835f63c55b0265a3a6062d18e866c3d2f34539015dd0b1d4cb39ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02699",
    "kind": "arxiv",
    "version": 1
  }
}