Pith Number

pith:IXSWWK4L

pith:2017:IXSWWK4LJ5D2ZDAHP6CN7HM5AW

not attested not anchored not stored refs pending

Quantitative minimality of strictly stable extremal submanifolds in a flat neighbourhood

Andrea Marchese, Dominik Inauen

arxiv:1709.02652 v2 · 2017-09-08 · math.AP · 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{IXSWWK4LJ5D2ZDAHP6CN7HM5AW}

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	2026-05-18T00:17:27.166752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45e56b2b8b4f47ac8c077f84df9d9d05bbb4014ff685b3a35af68ab575ce29bb

Aliases

arxiv: 1709.02652 · arxiv_version: 1709.02652v2 · doi: 10.48550/arxiv.1709.02652 · pith_short_12: IXSWWK4LJ5D2 · pith_short_16: IXSWWK4LJ5D2ZDAH · pith_short_8: IXSWWK4L

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/IXSWWK4LJ5D2ZDAHP6CN7HM5AW \
  | 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: 45e56b2b8b4f47ac8c077f84df9d9d05bbb4014ff685b3a35af68ab575ce29bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eaf5edf215557d8946b2dfa529f77c73036ed792dda9a84f758ff5ff4a001a04",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-08T11:20:17Z",
    "title_canon_sha256": "6ed24329bae39e68c2c68705855333825cbc8ce37ec9df79487bbb9eadba7416"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02652",
    "kind": "arxiv",
    "version": 2
  }
}