Pith Number

pith:QXUTQEQG

pith:2017:QXUTQEQGXAKQG7CCDJZHLMYR2E

not attested not anchored not stored refs pending

Moving-centre monotonicity formulae for minimal submanifolds and related equations

Jonathan J. Zhu

arxiv:1704.08195 v2 · 2017-04-26 · 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{QXUTQEQGXAKQG7CCDJZHLMYR2E}

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	2026-05-18T00:45:19.527379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85e9381206b815037c421a7275b311d132a09e4186e205bb46a16aca395cedfb

Aliases

arxiv: 1704.08195 · arxiv_version: 1704.08195v2 · doi: 10.48550/arxiv.1704.08195 · pith_short_12: QXUTQEQGXAKQ · pith_short_16: QXUTQEQGXAKQG7CC · pith_short_8: QXUTQEQG

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/QXUTQEQGXAKQG7CCDJZHLMYR2E \
  | 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: 85e9381206b815037c421a7275b311d132a09e4186e205bb46a16aca395cedfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49012af0730250299e97cca80e3564b9a0d90e78ec9c84710bd9904927b90d3a",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-04-26T16:33:33Z",
    "title_canon_sha256": "9b88a4f506484ca4e3c7fff212f884fa3489d4286fbaee6bde93df730b3e55a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.08195",
    "kind": "arxiv",
    "version": 2
  }
}