Pith Number

pith:2LWGIR7K

pith:2017:2LWGIR7KQVRQAJ4N3TT5FMMFLT

not attested not anchored not stored refs pending

Nondegeneracy of half-harmonic maps from $\mathbb{R}$ into $\mathbb{S}^1$

J. Wei, Y. Sire, Y. Zheng

arxiv:1701.03629 v1 · 2017-01-13 · 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{2LWGIR7KQVRQAJ4N3TT5FMMFLT}

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	2026-05-18T00:52:54.309143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2ec6447ea856300278ddce7d2b1855cef2bd334399aee5e4792f5f21cc81c58

Aliases

arxiv: 1701.03629 · arxiv_version: 1701.03629v1 · doi: 10.48550/arxiv.1701.03629 · pith_short_12: 2LWGIR7KQVRQ · pith_short_16: 2LWGIR7KQVRQAJ4N · pith_short_8: 2LWGIR7K

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/2LWGIR7KQVRQAJ4N3TT5FMMFLT \
  | 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: d2ec6447ea856300278ddce7d2b1855cef2bd334399aee5e4792f5f21cc81c58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc565891dc6b4f8a4cf318b6d6a8306085037e034bd6cc7e8f87dc5f59517b51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-01-13T11:18:43Z",
    "title_canon_sha256": "73e7845125d5982ab7ac47aba83ac376ded3d92425a4c5ff09de50d7376fdad0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03629",
    "kind": "arxiv",
    "version": 1
  }
}