Pith Number

pith:OZWF76EH

pith:2021:OZWF76EHWTQZ4NXDIICBW2MMZK

not attested not anchored not stored refs pending

Gelfand problem and Hemisphere rigidity

Mijia Lai, Wei Wei

arxiv:2102.10360 v3 · 2021-02-20 · math.DG · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OZWF76EHWTQZ4NXDIICBW2MMZK}

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	2026-07-05T04:38:41.922797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

766c5ff887b4e19e36e342041b698cca806941bc093353cbd15243e92bd6613d

Aliases

arxiv: 2102.10360 · arxiv_version: 2102.10360v3 · doi: 10.48550/arxiv.2102.10360 · pith_short_12: OZWF76EHWTQZ · pith_short_16: OZWF76EHWTQZ4NXD · pith_short_8: OZWF76EH

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/OZWF76EHWTQZ4NXDIICBW2MMZK \
  | 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: 766c5ff887b4e19e36e342041b698cca806941bc093353cbd15243e92bd6613d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cf80865253396842b4c4e306b933375bf42cf7a7c8f9a04c2fae41d1bb5f53a",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-02-20T14:44:25Z",
    "title_canon_sha256": "f787a803e43c7708f7bb63fef813b70f46ccd6258fa57cba5742067aee9ffc42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.10360",
    "kind": "arxiv",
    "version": 3
  }
}