Pith Number

pith:IHBPYSR2

pith:2013:IHBPYSR2OFJGFQ6A7DQBVDFM25

not attested not anchored not stored refs pending

Dependence of the Gauss-Codazzi equations and the Ricci equation of Lorentz surfaces

Bang-Yen Chen

arxiv:1307.3971 v1 · 2013-07-15 · 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{IHBPYSR2OFJGFQ6A7DQBVDFM25}

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	2026-05-18T03:18:27.308277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41c2fc4a3a715262c3c0f8e01a8cacd7679a1ca35b2bb81251d0caee7344d60e

Aliases

arxiv: 1307.3971 · arxiv_version: 1307.3971v1 · doi: 10.48550/arxiv.1307.3971 · pith_short_12: IHBPYSR2OFJG · pith_short_16: IHBPYSR2OFJGFQ6A · pith_short_8: IHBPYSR2

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/IHBPYSR2OFJGFQ6A7DQBVDFM25 \
  | 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: 41c2fc4a3a715262c3c0f8e01a8cacd7679a1ca35b2bb81251d0caee7344d60e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3983c501a06f6dfe2fc8e9a60a303ccc1be242fee4ae23e0e2ec4b202bed565d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-07-15T14:46:39Z",
    "title_canon_sha256": "33363729dd9ab865180cc37a420112f6cb7809cbd491e3372cfc3497d6d0409b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3971",
    "kind": "arxiv",
    "version": 1
  }
}