Pith Number

pith:EFWAQZXG

pith:2022:EFWAQZXG3GY7ZS5YDZG7AI74DT

not attested not anchored not stored refs pending

A variational characterization of calibrated submanifolds

Da Rong Cheng, Jesse Madnick, Spiro Karigiannis

arxiv:2204.08591 v2 · 2022-04-19 · 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{EFWAQZXG3GY7ZS5YDZG7AI74DT}

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	2026-07-05T06:19:34.343485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

216c0866e6d9b1fccbb81e4df023fc1cf7adcab53ed380f8a0f63634aab0f737

Aliases

arxiv: 2204.08591 · arxiv_version: 2204.08591v2 · doi: 10.48550/arxiv.2204.08591 · pith_short_12: EFWAQZXG3GY7 · pith_short_16: EFWAQZXG3GY7ZS5Y · pith_short_8: EFWAQZXG

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/EFWAQZXG3GY7ZS5YDZG7AI74DT \
  | 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: 216c0866e6d9b1fccbb81e4df023fc1cf7adcab53ed380f8a0f63634aab0f737

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7ad0681c361f3f2cccae63adbb0fb194a69ea45af625ea284ab6782c7c5f571",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2022-04-19T00:05:44Z",
    "title_canon_sha256": "5ffceec77b5eea3d0e39ed159b524fa0439c7feaaf99d2348972070c68857433"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.08591",
    "kind": "arxiv",
    "version": 2
  }
}