Pith Number

pith:WXTAFUG4

pith:2011:WXTAFUG4L7FRFTBMY2UNKI4BTQ

not attested not anchored not stored refs pending

Spacelike surfaces with free boundary in the Lorentz-Minkowski space

Juncheol Pyo, Rafael L\'opez

arxiv:1112.3936 v1 · 2011-12-16 · 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{WXTAFUG4L7FRFTBMY2UNKI4BTQ}

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	2026-05-18T01:59:06.515818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5e602d0dc5fcb12cc2cc6a8d523819c020d5ae92e99bcc8e36fc13b3b0adca8

Aliases

arxiv: 1112.3936 · arxiv_version: 1112.3936v1 · doi: 10.48550/arxiv.1112.3936 · pith_short_12: WXTAFUG4L7FR · pith_short_16: WXTAFUG4L7FRFTBM · pith_short_8: WXTAFUG4

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/WXTAFUG4L7FRFTBMY2UNKI4BTQ \
  | 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: b5e602d0dc5fcb12cc2cc6a8d523819c020d5ae92e99bcc8e36fc13b3b0adca8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "688aeb92345bc77159d755366a253dba2f3b9e3e95dad2c99de307ac2f2954fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-12-16T20:12:46Z",
    "title_canon_sha256": "15b7be7f20ac0e84564c4fb7cad6b6d939a47de067be6d52ca9ac1fd772cab7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3936",
    "kind": "arxiv",
    "version": 1
  }
}