Pith Number

pith:Q3PEW7IX

pith:2018:Q3PEW7IXR6PRTMUQQFZFIL2IJZ

not attested not anchored not stored refs pending

$p$-Harmonic Maps to $S^1$ and Stationary Varifolds of Codimension 2

Daniel Stern

arxiv:1802.03053 v2 · 2018-02-08 · 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{Q3PEW7IXR6PRTMUQQFZFIL2IJZ}

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	2026-05-18T00:23:44.709146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86de4b7d178f9f19b2908172542f484e7ef5f075e82ad22a7486329da57e36a6

Aliases

arxiv: 1802.03053 · arxiv_version: 1802.03053v2 · doi: 10.48550/arxiv.1802.03053 · pith_short_12: Q3PEW7IXR6PR · pith_short_16: Q3PEW7IXR6PRTMUQ · pith_short_8: Q3PEW7IX

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/Q3PEW7IXR6PRTMUQQFZFIL2IJZ \
  | 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: 86de4b7d178f9f19b2908172542f484e7ef5f075e82ad22a7486329da57e36a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67f971728d81eb9c5fabbb4e7bcef3a80a1fcbfa6b4f13a20cdcb6a5f1a28863",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-02-08T21:27:57Z",
    "title_canon_sha256": "0218e51571f9ef89d7f4ac6b80a67e93f8a966315650a3e825c48ee3f37eb457"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.03053",
    "kind": "arxiv",
    "version": 2
  }
}