pith. sign in
Pith Number

pith:NG5YLN5T

pith:2014:NG5YLN5TSR6GQOQH7ADLKGIOJ5
not attested not anchored not stored refs pending

An existence and uniqueness result for orientation-reversing harmonic diffeomorphism from $\mathbb{H}_*^n$ to $\mathbb{R}_*^n$

Shi-Zhong Du, Xu-Qian Fan

arxiv:1409.2118 v1 · 2014-09-07 · 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{NG5YLN5TSR6GQOQH7ADLKGIOJ5}

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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 2026-05-18T02:43:17.824156Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

69bb85b7b3947c683a07f806b5190e4f43e7a8badfd2c54caba6e454160fee34

Aliases

arxiv: 1409.2118 · arxiv_version: 1409.2118v1 · doi: 10.48550/arxiv.1409.2118 · pith_short_12: NG5YLN5TSR6G · pith_short_16: NG5YLN5TSR6GQOQH · pith_short_8: NG5YLN5T
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/NG5YLN5TSR6GQOQH7ADLKGIOJ5 \
  | 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: 69bb85b7b3947c683a07f806b5190e4f43e7a8badfd2c54caba6e454160fee34
Canonical record JSON 
{
  "metadata": {
    "abstract_canon_sha256": "68d3569170155db3872b0058472318b09a012e51ed94d5cb2738be198e9f2422",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-09-07T13:29:46Z",
    "title_canon_sha256": "aabae6a4a01a2e5dbbf2a50ed33abe5719e3ece30c7f66010cd9c3ae3a8b5cd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2118",
    "kind": "arxiv",
    "version": 1
  }
}