Pith Number

pith:BPADYFCP

pith:2010:BPADYFCPYSOGAQQPTN5FKU3KTX

not attested not anchored not stored refs pending

Harmonic mappings and distance function

David Kalaj

arxiv:1011.3012 v1 · 2010-11-12 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BPADYFCPYSOGAQQPTN5FKU3KTX}

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	2026-05-18T04:02:01.915180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bc03c144fc49c60420f9b7a55536a9de26b3a8862fad375157744919aeea6b5

Aliases

arxiv: 1011.3012 · arxiv_version: 1011.3012v1 · doi: 10.48550/arxiv.1011.3012 · pith_short_12: BPADYFCPYSOG · pith_short_16: BPADYFCPYSOGAQQP · pith_short_8: BPADYFCP

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/BPADYFCPYSOGAQQPTN5FKU3KTX \
  | 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: 0bc03c144fc49c60420f9b7a55536a9de26b3a8862fad375157744919aeea6b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8711c955e72cfac1765e0a239d45ebaa0ad716a1985eab1e06e3e4b52de41d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-11-12T19:18:52Z",
    "title_canon_sha256": "b070e1ac5c7c47f04d386f29471ad74b2feb2e010007c9ea5df0c2877ba3371c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3012",
    "kind": "arxiv",
    "version": 1
  }
}