Pith Number

pith:PAWXRP57

pith:2015:PAWXRP57TBMJ5EQ6DLJHMWRYOA

not attested not anchored not stored refs pending

Energy and area minimizers in metric spaces

Alexander Lytchak, Stefan Wenger

arxiv:1507.02670 v2 · 2015-07-09 · math.DG · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PAWXRP57TBMJ5EQ6DLJHMWRYOA}

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	2026-05-18T01:36:47.670414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

782d78bfbf98589e921e1ad2765a387033cb1fff29820fe7fdbad87c0f15270a

Aliases

arxiv: 1507.02670 · arxiv_version: 1507.02670v2 · doi: 10.48550/arxiv.1507.02670 · pith_short_12: PAWXRP57TBMJ · pith_short_16: PAWXRP57TBMJ5EQ6 · pith_short_8: PAWXRP57

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/PAWXRP57TBMJ5EQ6DLJHMWRYOA \
  | 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: 782d78bfbf98589e921e1ad2765a387033cb1fff29820fe7fdbad87c0f15270a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d66fcc55a31a34f8ec82d7899569620cb295d40df5077d9bcaa5f7cf7fa149d1",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-07-09T19:46:36Z",
    "title_canon_sha256": "e6fc2fdc7a8fdebdb81c8024b5d1eb3e8fb4e8294169f8d13dd96247039cc89d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02670",
    "kind": "arxiv",
    "version": 2
  }
}