Pith Number

pith:45HZVIBR

pith:2012:45HZVIBRLDPHQV6Y2OQ2B4FPGK

not attested not anchored not stored refs pending

Singular interactions supported by embedded curves

Burak Tevfik Kaynak, O. Teoman Turgut

arxiv:1202.3568 v2 · 2012-02-16 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{45HZVIBRLDPHQV6Y2OQ2B4FPGK}

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	2026-05-18T03:53:54.378417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e74f9aa03158de7857d8d3a1a0f0af32a5fc6b7ad812a42b32cddfc308a11412

Aliases

arxiv: 1202.3568 · arxiv_version: 1202.3568v2 · doi: 10.48550/arxiv.1202.3568 · pith_short_12: 45HZVIBRLDPH · pith_short_16: 45HZVIBRLDPHQV6Y · pith_short_8: 45HZVIBR

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/45HZVIBRLDPHQV6Y2OQ2B4FPGK \
  | 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: e74f9aa03158de7857d8d3a1a0f0af32a5fc6b7ad812a42b32cddfc308a11412

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ac7fd00def8e5d5f1f5b52cd343f4ef12d20a7b1a2314d33084b64cbd8634c4",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-02-16T11:52:11Z",
    "title_canon_sha256": "31c7604aa3c7317cbd70d390d6a2cd4b47631fda8759fe4e95bd507f2415a27a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3568",
    "kind": "arxiv",
    "version": 2
  }
}