Pith Number

pith:BJRYPS4B

pith:2013:BJRYPS4B2J53O2N723NHDMETDF

not attested not anchored not stored refs pending

Rigidity and regularity of co-dimension one Sobolev isometric immersions

Mohammad Reza Pakzad, Zhuomin Liu

arxiv:1302.0075 v2 · 2013-02-01 · math.AP · 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{BJRYPS4B2J53O2N723NHDMETDF}

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	2026-05-18T03:11:35.918397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a6387cb81d27bb769bfd6da71b09319666271ed4d1cd7ff923e7cdb14841919

Aliases

arxiv: 1302.0075 · arxiv_version: 1302.0075v2 · doi: 10.48550/arxiv.1302.0075 · pith_short_12: BJRYPS4B2J53 · pith_short_16: BJRYPS4B2J53O2N7 · pith_short_8: BJRYPS4B

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/BJRYPS4B2J53O2N723NHDMETDF \
  | 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: 0a6387cb81d27bb769bfd6da71b09319666271ed4d1cd7ff923e7cdb14841919

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "034b9daf3291cade4dd7f6cd4bad5d1a14e40029c1ef34dc915cf6c1191a8c30",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-02-01T04:48:33Z",
    "title_canon_sha256": "d086948f7a221669cc6db207faf4f21d13553e4b489afb5af357134d6b0c46c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0075",
    "kind": "arxiv",
    "version": 2
  }
}