pith. sign in
Pith Number

pith:PCBVOXWU

pith:2016:PCBVOXWU5VEEU7RP5VSOXIOXLM
not attested not anchored not stored refs pending

Null pseudo-isotropic Lagrangian surfaces

Alfonso Carriazo, Luc Vrancken, Ver\'onica Mart\'in-Molina

arxiv:1610.01396 v1 · 2016-10-05 · math.DG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PCBVOXWU5VEEU7RP5VSOXIOXLM}

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 2026-05-17T23:57:51.104352Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7883575ed4ed484a7e2fed64eba1d75b01449ea89b783aa4218b3a487b67a88d

Aliases

arxiv: 1610.01396 · arxiv_version: 1610.01396v1 · doi: 10.48550/arxiv.1610.01396 · pith_short_12: PCBVOXWU5VEE · pith_short_16: PCBVOXWU5VEEU7RP · pith_short_8: PCBVOXWU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PCBVOXWU5VEEU7RP5VSOXIOXLM \
  | 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: 7883575ed4ed484a7e2fed64eba1d75b01449ea89b783aa4218b3a487b67a88d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c93252355dd9444ef47957c87f3a4bac576c4f58c192d5baab807ec6b9626594",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-10-05T13:05:49Z",
    "title_canon_sha256": "3fbc8201a4a3e3b4cf3c468994d465ab97754b666d9b56991d0b39e731226d4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01396",
    "kind": "arxiv",
    "version": 1
  }
}