Pith Number

pith:CQPX5RTD

pith:2011:CQPX5RTDS66QCR2R2L74A57ZSX

not attested not anchored not stored refs pending

Energy identity and removable singularities of maps from a Riemann surface with tension field unbounded in $L^2$

Yong Luo

arxiv:1110.4901 v5 · 2011-10-21 · 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{CQPX5RTDS66QCR2R2L74A57ZSX}

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	2026-05-18T03:55:24.735773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

141f7ec66397bd014751d2ffc077f995c2e4f3f3e14ee44d2c78cf0c1f6203cc

Aliases

arxiv: 1110.4901 · arxiv_version: 1110.4901v5 · doi: 10.48550/arxiv.1110.4901 · pith_short_12: CQPX5RTDS66Q · pith_short_16: CQPX5RTDS66QCR2R · pith_short_8: CQPX5RTD

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/CQPX5RTDS66QCR2R2L74A57ZSX \
  | 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: 141f7ec66397bd014751d2ffc077f995c2e4f3f3e14ee44d2c78cf0c1f6203cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "835f8204be8b5fdd0947f8a2192cfda40d80ac7ad00e4b44fb35f0da79c10b95",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-10-21T20:26:02Z",
    "title_canon_sha256": "f29f3fbf9aeb1c1aab802aac7b4c109be4e2dd35564338d6e6b1a5d7f026a3b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4901",
    "kind": "arxiv",
    "version": 5
  }
}