Pith Number

pith:ZE4SYTK2

pith:2014:ZE4SYTK254LHPK7OLAJOQZQYRY

not attested not anchored not stored refs pending

$\delta$(3)-ideal null 2-type hypersurfaces in Euclidean spaces

Bang-Yen Chen, Yu Fu

arxiv:1412.7081 v1 · 2014-12-22 · 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{ZE4SYTK254LHPK7OLAJOQZQYRY}

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	2026-05-18T02:30:41.185106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9392c4d5aef1677abee5812e866188e0cee3befa0fd08e989e4a1f6b0698369

Aliases

arxiv: 1412.7081 · arxiv_version: 1412.7081v1 · doi: 10.48550/arxiv.1412.7081 · pith_short_12: ZE4SYTK254LH · pith_short_16: ZE4SYTK254LHPK7O · pith_short_8: ZE4SYTK2

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/ZE4SYTK254LHPK7OLAJOQZQYRY \
  | 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: c9392c4d5aef1677abee5812e866188e0cee3befa0fd08e989e4a1f6b0698369

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18bb114902c41bd2ab8f5a75a20f77945eef00907f924163e7d66d8389a01fb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-12-22T18:27:09Z",
    "title_canon_sha256": "b569e2f6a49abb48b7ba071fd095b4fcf38ee3dcf2e4e55a539258c918a4b4c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7081",
    "kind": "arxiv",
    "version": 1
  }
}