Pith Number

pith:HIUBQJDY

pith:2013:HIUBQJDYUFFXZ3C7GWVG2ROSXG

not attested not anchored not stored refs pending

The fundamental theorems for curves and surfaces in 3d Heisenberg group

Hung-Lin Chiu, Sin-Hua Lai

arxiv:1301.6463 v1 · 2013-01-28 · 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{HIUBQJDYUFFXZ3C7GWVG2ROSXG}

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	2026-05-18T03:35:15.282991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a28182478a14b7cec5f35aa6d45d2b99a35c73cca220a1ce0485bb23d82687a

Aliases

arxiv: 1301.6463 · arxiv_version: 1301.6463v1 · doi: 10.48550/arxiv.1301.6463 · pith_short_12: HIUBQJDYUFFX · pith_short_16: HIUBQJDYUFFXZ3C7 · pith_short_8: HIUBQJDY

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/HIUBQJDYUFFXZ3C7GWVG2ROSXG \
  | 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: 3a28182478a14b7cec5f35aa6d45d2b99a35c73cca220a1ce0485bb23d82687a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08d7f2af545c530f2f5112e3fe0fa5e3aca973873be7568f293893782ca1b1fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-01-28T07:43:05Z",
    "title_canon_sha256": "90566df501c839535464dfe670b15fd049059bf3a42a84a8151d7dc36fcbb85d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6463",
    "kind": "arxiv",
    "version": 1
  }
}