Pith Number

pith:ZHO3QBPU

pith:2015:ZHO3QBPU4WNNSHDNLYD3UFJDZ7

not attested not anchored not stored refs pending

A compactness result for energy-minimizing harmonic maps with rough domain metric

Da Rong Cheng

arxiv:1506.06122 v1 · 2015-06-19 · 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{ZHO3QBPU4WNNSHDNLYD3UFJDZ7}

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	2026-05-18T01:42:46.219008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9ddb805f4e59ad91c6d5e07ba1523cfdbc2883b24cf6c177a6a12c6e736ac01

Aliases

arxiv: 1506.06122 · arxiv_version: 1506.06122v1 · doi: 10.48550/arxiv.1506.06122 · pith_short_12: ZHO3QBPU4WNN · pith_short_16: ZHO3QBPU4WNNSHDN · pith_short_8: ZHO3QBPU

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/ZHO3QBPU4WNNSHDNLYD3UFJDZ7 \
  | 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: c9ddb805f4e59ad91c6d5e07ba1523cfdbc2883b24cf6c177a6a12c6e736ac01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d5b1deca11726a49ca39f11b6e215877dff48758aaeb847eeb01a933364c659",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-06-19T19:38:09Z",
    "title_canon_sha256": "71d2cea9193e8d551a6ff3b020343dde643aacdfcaa2f4178a7a64781f66b33d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06122",
    "kind": "arxiv",
    "version": 1
  }
}