Pith Number

pith:UGX6PMJP

pith:2013:UGX6PMJP4SILTS6H3PNB2GIFX5

not attested not anchored not stored refs pending

On harmonic functions and the hyperbolic metric

Marijan Markovic

arxiv:1307.4006 v3 · 2013-07-15 · 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{UGX6PMJP4SILTS6H3PNB2GIFX5}

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	2026-05-18T02:57:06.662255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1afe7b12fe490b9cbc7dbda1d1905bf4112e81300c957c77f2e4dd6559fb607

Aliases

arxiv: 1307.4006 · arxiv_version: 1307.4006v3 · doi: 10.48550/arxiv.1307.4006 · pith_short_12: UGX6PMJP4SIL · pith_short_16: UGX6PMJP4SILTS6H · pith_short_8: UGX6PMJP

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/UGX6PMJP4SILTS6H3PNB2GIFX5 \
  | 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: a1afe7b12fe490b9cbc7dbda1d1905bf4112e81300c957c77f2e4dd6559fb607

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5c7cfa29d4991aaab85ce94de90d5bd9170bb6bcb53df5985bc523244f8e1f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-07-15T16:19:39Z",
    "title_canon_sha256": "ba245730dde4a39573628109a64c802763988550765174ff2c6bdd6a950175b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4006",
    "kind": "arxiv",
    "version": 3
  }
}