Pith Number

pith:EXDTOPF3

pith:2018:EXDTOPF3RDTRHFM3OAH2FJB55N

not attested not anchored not stored refs pending

Nondegeneracy of harmonic maps from $\mathbb R^2$ to $\mathbb S^2$

Guoyuan Chen, Juncheng Wei, Yong Liu

arxiv:1806.04131 v1 · 2018-06-11 · 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{EXDTOPF3RDTRHFM3OAH2FJB55N}

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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	2026-05-18T00:13:38.430230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25c7373cbb88e713959b700fa2a43deb7ecb631aad59e9e4d63884d72c6cb95f

Aliases

arxiv: 1806.04131 · arxiv_version: 1806.04131v1 · doi: 10.48550/arxiv.1806.04131 · pith_short_12: EXDTOPF3RDTR · pith_short_16: EXDTOPF3RDTRHFM3 · pith_short_8: EXDTOPF3

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/EXDTOPF3RDTRHFM3OAH2FJB55N \
  | 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: 25c7373cbb88e713959b700fa2a43deb7ecb631aad59e9e4d63884d72c6cb95f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e00a6db1d7e72df36e8b9d72a9fc6ba30ab8c35ace41bacee8e6c84f1165a99",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-11T17:59:00Z",
    "title_canon_sha256": "ba9741ee54e60f36ededeac092382da853c5c7010774a4ea63c997bd35d8b5c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.04131",
    "kind": "arxiv",
    "version": 1
  }
}