Pith Number

pith:ECFQE6ZR

pith:2010:ECFQE6ZRRPLKA3HLKIJVOMJSHM

not attested not anchored not stored refs pending

Curvature and bubble convergence of harmonic maps

Gerasim Kokarev

arxiv:1005.3783 v3 · 2010-05-20 · 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{ECFQE6ZRRPLKA3HLKIJVOMJSHM}

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	2026-05-18T04:11:18.054905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

208b027b318bd6a06ceb52135731323b011f60b282d3166d79c6bd59d6f625de

Aliases

arxiv: 1005.3783 · arxiv_version: 1005.3783v3 · doi: 10.48550/arxiv.1005.3783 · pith_short_12: ECFQE6ZRRPLK · pith_short_16: ECFQE6ZRRPLKA3HL · pith_short_8: ECFQE6ZR

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/ECFQE6ZRRPLKA3HLKIJVOMJSHM \
  | 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: 208b027b318bd6a06ceb52135731323b011f60b282d3166d79c6bd59d6f625de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ac989efd14e1f7d482b297dfae098ff1fb7630a608fed6e27889fefcbbd8f8c",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-05-20T18:36:02Z",
    "title_canon_sha256": "615adb8763dbafedf548e17b37b2c92d39b21f097a4ba4eaf9cf1cef517b68dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3783",
    "kind": "arxiv",
    "version": 3
  }
}