Pith Number

pith:SQPT6VHT

pith:2022:SQPT6VHTLIP7VRHABL6ZFQLRFH

not attested not anchored not stored refs pending

The anisotropic Min-Max theory: Existence of anisotropic minimal and CMC surfaces

Antonio De Rosa, Guido De Philippis

arxiv:2205.12931 v1 · 2022-05-23 · 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{SQPT6VHTLIP7VRHABL6ZFQLRFH}

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	2026-07-05T04:26:30.928783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

941f3f54f35a1ffac4e00afd92c17129f71d36fa2a78a0c3f44ffb1f84707a1e

Aliases

arxiv: 2205.12931 · arxiv_version: 2205.12931v1 · doi: 10.48550/arxiv.2205.12931 · pith_short_12: SQPT6VHTLIP7 · pith_short_16: SQPT6VHTLIP7VRHA · pith_short_8: SQPT6VHT

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/SQPT6VHTLIP7VRHABL6ZFQLRFH \
  | 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: 941f3f54f35a1ffac4e00afd92c17129f71d36fa2a78a0c3f44ffb1f84707a1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ca7ba904d35a479a69fb41216e116916a079e9abe0c2e962535ccc2adca543e",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2022-05-23T23:07:37Z",
    "title_canon_sha256": "e46dec765069b54b6d41484e4c6489619d690a06dde45435afe62005110fc1dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.12931",
    "kind": "arxiv",
    "version": 1
  }
}