Pith Number

pith:QNVBZL4H

pith:2011:QNVBZL4HM6HZWGYYHMO4PURTRI

not attested not anchored not stored refs pending

Harmonic diffeomorphisms between domains in the Euclidean 2-sphere

Antonio Alarcon, Rabah Souam

arxiv:1108.1960 v2 · 2011-08-09 · 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{QNVBZL4HM6HZWGYYHMO4PURTRI}

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	2026-05-18T04:11:51.250496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

836a1caf87678f9b1b183b1dc7d2338a2787095121f2f6967e28d08a35900c6d

Aliases

arxiv: 1108.1960 · arxiv_version: 1108.1960v2 · doi: 10.48550/arxiv.1108.1960 · pith_short_12: QNVBZL4HM6HZ · pith_short_16: QNVBZL4HM6HZWGYY · pith_short_8: QNVBZL4H

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/QNVBZL4HM6HZWGYYHMO4PURTRI \
  | 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: 836a1caf87678f9b1b183b1dc7d2338a2787095121f2f6967e28d08a35900c6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5243ba6df28ea571363600be274407ad501474c6f5a9e62b01179f889b2fd601",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-08-09T15:39:12Z",
    "title_canon_sha256": "139f6c859bd3c5e32ecf7f278b96c754fae9e6276397b16ba49903162df2eff1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1960",
    "kind": "arxiv",
    "version": 2
  }
}