Pith Number

pith:HWN63AXA

pith:2016:HWN63AXAMTN5QIV46SJ2FZWCLJ

not attested not anchored not stored refs pending

Min-max theory for minimal hypersurfaces with boundary

Camillo De Lellis, Jusuf Ramic

arxiv:1611.00926 v2 · 2016-11-03 · 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{HWN63AXAMTN5QIV46SJ2FZWCLJ}

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	2026-05-18T00:44:15.825086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d9bed82e064dbd822bcf493a2e6c25a5d6b693f92229ccc31f0bd2429d1e70a

Aliases

arxiv: 1611.00926 · arxiv_version: 1611.00926v2 · doi: 10.48550/arxiv.1611.00926 · pith_short_12: HWN63AXAMTN5 · pith_short_16: HWN63AXAMTN5QIV4 · pith_short_8: HWN63AXA

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/HWN63AXAMTN5QIV46SJ2FZWCLJ \
  | 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: 3d9bed82e064dbd822bcf493a2e6c25a5d6b693f92229ccc31f0bd2429d1e70a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab3e45dfa910df7e544a6e04a9b9e487c2aad6ba1c98635154d396adf553050a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-03T09:27:11Z",
    "title_canon_sha256": "2f9c9a42c6f1b6ff4c15f368a58a61cfbc992e15427676861ff2a390135ffb48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.00926",
    "kind": "arxiv",
    "version": 2
  }
}