Pith Number

pith:LFLF4APA

pith:2016:LFLF4APAP66ACGMMIH5XQM5YIK

not attested not anchored not stored refs pending

Min-max theory for free boundary minimal hypersurfaces I - regularity theory

Martin Li, Xin Zhou

arxiv:1611.02612 v3 · 2016-11-08 · 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{LFLF4APAP66ACGMMIH5XQM5YIK}

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	2026-05-18T00:36:47.809998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59565e01e07fbc01198c41fb7833b8428392eb8cb2f1bcda14d1c5b1e61e057b

Aliases

arxiv: 1611.02612 · arxiv_version: 1611.02612v3 · doi: 10.48550/arxiv.1611.02612 · pith_short_12: LFLF4APAP66A · pith_short_16: LFLF4APAP66ACGMM · pith_short_8: LFLF4APA

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/LFLF4APAP66ACGMMIH5XQM5YIK \
  | 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: 59565e01e07fbc01198c41fb7833b8428392eb8cb2f1bcda14d1c5b1e61e057b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdc09585e101332bb0fbba41c1fdfdfe6f26ed07622ce11e01c9870d05084a26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-11-08T17:17:12Z",
    "title_canon_sha256": "53335a9ce939d0b185accca90fc85a379a59fec7dedef6b09a2e012b1ddf3f15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02612",
    "kind": "arxiv",
    "version": 3
  }
}