Pith Number

pith:WMPGKUQL

pith:2015:WMPGKUQLSBNOOKEJ6IQNNRS7BH

not attested not anchored not stored refs pending

Regularity and quantification for harmonic maps with free boundary

Paul Laurain, Romain Petrides

arxiv:1506.00926 v1 · 2015-06-02 · 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{WMPGKUQLSBNOOKEJ6IQNNRS7BH}

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	2026-05-18T01:59:34.080794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b31e65520b905ae72889f220d6c65f09c6b708c511ad49d46dbc0a9f46a8a81c

Aliases

arxiv: 1506.00926 · arxiv_version: 1506.00926v1 · doi: 10.48550/arxiv.1506.00926 · pith_short_12: WMPGKUQLSBNO · pith_short_16: WMPGKUQLSBNOOKEJ · pith_short_8: WMPGKUQL

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/WMPGKUQLSBNOOKEJ6IQNNRS7BH \
  | 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: b31e65520b905ae72889f220d6c65f09c6b708c511ad49d46dbc0a9f46a8a81c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0c8b1252e88238cce572396b021f7d906dd5f217f6c05dca66d8e756553fc89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-02T15:36:43Z",
    "title_canon_sha256": "0e79481ce8111d5237dcb26df8a2a184f53b58725ef44d52f8d7fd2856790e5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00926",
    "kind": "arxiv",
    "version": 1
  }
}