Pith Number

pith:6DJZEKFN

pith:2011:6DJZEKFNUPCS45EZRAFSKVNBZS

not attested not anchored not stored refs pending

Darboux Approach to Bertrand Surface Offsets

Mehmet \"Onder

arxiv:1108.4535 v1 · 2011-08-23 · 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{6DJZEKFNUPCS45EZRAFSKVNBZS}

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	2026-05-18T01:37:06.038592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0d39228ada3c52e7499880b2555a1cc9771a9e879e4abc7013aba6fa9f11728

Aliases

arxiv: 1108.4535 · arxiv_version: 1108.4535v1 · doi: 10.48550/arxiv.1108.4535 · pith_short_12: 6DJZEKFNUPCS · pith_short_16: 6DJZEKFNUPCS45EZ · pith_short_8: 6DJZEKFN

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/6DJZEKFNUPCS45EZRAFSKVNBZS \
  | 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: f0d39228ada3c52e7499880b2555a1cc9771a9e879e4abc7013aba6fa9f11728

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3e783405957d70d39ad49ab21a34bc19a03c60b05fd44dcc6c8f1eab7659d11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-08-23T09:42:56Z",
    "title_canon_sha256": "917764d0a0c2f5e5ca59e66f9c9651d8d37c0d33b0a8dcc41e5681c8554e909f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4535",
    "kind": "arxiv",
    "version": 1
  }
}