Pith Number

pith:2SO6ZERT

pith:2011:2SO6ZERTDCDZFA3TFURBTXKZW7

not attested not anchored not stored refs pending

New Representations of Bertrand Pairs in Euclidean 3-Space

M. Kemal Karacan, Serpil Unal, Y{\i}lmaz Tun\c{c}er

arxiv:1110.4269 v2 · 2011-10-19 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2SO6ZERTDCDZFA3TFURBTXKZW7}

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	2026-05-18T01:15:24.498795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d49dec923318879283732d2219dd59b7cf3186dfb26f8075968f268d0ee1d266

Aliases

arxiv: 1110.4269 · arxiv_version: 1110.4269v2 · doi: 10.48550/arxiv.1110.4269 · pith_short_12: 2SO6ZERTDCDZ · pith_short_16: 2SO6ZERTDCDZFA3T · pith_short_8: 2SO6ZERT

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/2SO6ZERTDCDZFA3TFURBTXKZW7 \
  | 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: d49dec923318879283732d2219dd59b7cf3186dfb26f8075968f268d0ee1d266

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf012741c5e5c4e16e6fe5767e60ec074f483cc79b50cae88db35ae2becd98cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-10-19T12:59:38Z",
    "title_canon_sha256": "dadc6e1f400565908f40e377a25141b02caefc051109f900fa5013940d34b995"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4269",
    "kind": "arxiv",
    "version": 2
  }
}