Pith Number

pith:76DNAWW7

pith:2012:76DNAWW76H4KOHOGB2ZSOPZEZJ

not attested not anchored not stored refs pending

The Representation of Line Dirac Delta Function Along a Space Curve

Xiaoming Zheng, Zhou Zhang

arxiv:1209.3221 v2 · 2012-09-12 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{76DNAWW76H4KOHOGB2ZSOPZEZJ}

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	2026-05-18T02:19:06.478995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff86d05adff1f8a71dc60eb3273f24ca7205a5e549e1ef1bab5af751bca53cea

Aliases

arxiv: 1209.3221 · arxiv_version: 1209.3221v2 · doi: 10.48550/arxiv.1209.3221 · pith_short_12: 76DNAWW76H4K · pith_short_16: 76DNAWW76H4KOHOG · pith_short_8: 76DNAWW7

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/76DNAWW76H4KOHOGB2ZSOPZEZJ \
  | 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: ff86d05adff1f8a71dc60eb3273f24ca7205a5e549e1ef1bab5af751bca53cea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efc90c113825b445e9f0dcc5ae4c50cc8ad0c3a4f39792048e7f1b9225e7a79f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-09-12T03:59:51Z",
    "title_canon_sha256": "09c506c2091fa491010e4b35124872a1e8b0316462489ee12c980728fc3fb6bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3221",
    "kind": "arxiv",
    "version": 2
  }
}