Pith Number

pith:3U3SLEIR

pith:2017:3U3SLEIRZLS34X4CY5WC3E2OAJ

not attested not anchored not stored refs pending

Quantitative gradient estimates for harmonic maps into singular spaces

Hui-Chun Zhang, Xiao Zhong, Xi-Ping Zhu

arxiv:1711.05245 v4 · 2017-11-14 · math.DG · math.AP · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3U3SLEIRZLS34X4CY5WC3E2OAJ}

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	2026-05-17T23:52:55.952449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd37259111cae5be5f82c76c2d934e0262c1979579534a9457df27c6490e25d2

Aliases

arxiv: 1711.05245 · arxiv_version: 1711.05245v4 · doi: 10.48550/arxiv.1711.05245 · pith_short_12: 3U3SLEIRZLS3 · pith_short_16: 3U3SLEIRZLS34X4C · pith_short_8: 3U3SLEIR

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/3U3SLEIRZLS34X4CY5WC3E2OAJ \
  | 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: dd37259111cae5be5f82c76c2d934e0262c1979579534a9457df27c6490e25d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd83ff0cc4512c0f81a14179492861d4a97dc46b4bf6d5e834d77e3858d265e6",
    "cross_cats_sorted": [
      "math.AP",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-11-14T18:42:22Z",
    "title_canon_sha256": "950bd9d687e96cde7172052383e42a291d7cc7ec5341f8596fe1219950490d38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.05245",
    "kind": "arxiv",
    "version": 4
  }
}