Pith Number

pith:ZSRC3HE4

pith:2013:ZSRC3HE4WQ2J7Y6LT7RZBOH4M5

not attested not anchored not stored refs pending

Ideal hypersurfaces of Euclidean four-space

Bang-Yen Chen

arxiv:1307.4772 v1 · 2013-07-17 · 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{ZSRC3HE4WQ2J7Y6LT7RZBOH4M5}

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	2026-05-18T03:18:08.702868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cca22d9c9cb4349fe3cb9fe390b8fc675ad02c1e447f33c1721f39d08634e9c2

Aliases

arxiv: 1307.4772 · arxiv_version: 1307.4772v1 · doi: 10.48550/arxiv.1307.4772 · pith_short_12: ZSRC3HE4WQ2J · pith_short_16: ZSRC3HE4WQ2J7Y6L · pith_short_8: ZSRC3HE4

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/ZSRC3HE4WQ2J7Y6LT7RZBOH4M5 \
  | 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: cca22d9c9cb4349fe3cb9fe390b8fc675ad02c1e447f33c1721f39d08634e9c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a196dc9e77d4e48d9f19b5ab3428752f5e40b1758855fdd9a1657c876cc6f5e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-07-17T20:18:39Z",
    "title_canon_sha256": "07f8a6eb11307f2a7b156712fa02f924c9d851a3450a7522c95d1a679bb88b4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4772",
    "kind": "arxiv",
    "version": 1
  }
}