Pith Number

pith:HMDED5JZ

pith:2010:HMDED5JZC2YJUOC5G3GB4IAMUQ

not attested not anchored not stored refs pending

On the self-CPG curves and the Bj\"orling problem

Hugo Jim\'enez-P\'erez, Santiago L\'opez de Medrano

arxiv:1010.3049 v4 · 2010-10-15 · 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{HMDED5JZC2YJUOC5G3GB4IAMUQ}

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	2026-05-18T04:06:45.108446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b0641f53916b09a385d36cc1e200ca401ceb772c7e5864fd791ac3a9179d9a9

Aliases

arxiv: 1010.3049 · arxiv_version: 1010.3049v4 · doi: 10.48550/arxiv.1010.3049 · pith_short_12: HMDED5JZC2YJ · pith_short_16: HMDED5JZC2YJUOC5 · pith_short_8: HMDED5JZ

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/HMDED5JZC2YJUOC5G3GB4IAMUQ \
  | 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: 3b0641f53916b09a385d36cc1e200ca401ceb772c7e5864fd791ac3a9179d9a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "935f37a8c82b9dfb93dfcf4c41f7f0108a1753590a6342358e1c0f6b0e952dda",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-10-15T00:22:34Z",
    "title_canon_sha256": "f3a65f34e5871a79852f3d86f1f9ce7f0474d77f969674059c225a7ddd347d2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3049",
    "kind": "arxiv",
    "version": 4
  }
}