Pith Number

pith:EGAX2AUA

pith:2016:EGAX2AUADZ4NRVFT5ZUXSTTAFG

not attested not anchored not stored refs pending

Uniformly locally univalent harmonic mappings

J. Qiao, S. Ponnusamy, X. Wang

arxiv:1601.01139 v1 · 2016-01-06 · 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{EGAX2AUADZ4NRVFT5ZUXSTTAFG}

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	2026-05-18T01:23:17.771387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21817d02801e78d8d4b3ee69794e6029afbdf85e5dd02866daf368fcb838ea85

Aliases

arxiv: 1601.01139 · arxiv_version: 1601.01139v1 · doi: 10.48550/arxiv.1601.01139 · pith_short_12: EGAX2AUADZ4N · pith_short_16: EGAX2AUADZ4NRVFT · pith_short_8: EGAX2AUA

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/EGAX2AUADZ4NRVFT5ZUXSTTAFG \
  | 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: 21817d02801e78d8d4b3ee69794e6029afbdf85e5dd02866daf368fcb838ea85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "751fac099fc1f666b735fd948cd9d3d7c02de666b3ac0724ba4f8cb64a1e5315",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-01-06T11:04:48Z",
    "title_canon_sha256": "12ec37949eef7a924a2c1c3ec37f39281b8d92d7e81b972e5a20918fb611952b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01139",
    "kind": "arxiv",
    "version": 1
  }
}