Pith Number

pith:MPU6MYE7

pith:2015:MPU6MYE7DKCDWNK3MFYBOFD66G

not attested not anchored not stored refs pending

Injectivity of sections of convex harmonic mappings and convolution theorems

Liulan Li, Saminathan Ponnusamy

arxiv:1506.00542 v1 · 2015-06-01 · 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{MPU6MYE7DKCDWNK3MFYBOFD66G}

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	2026-05-18T01:59:54.295728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63e9e6609f1a843b355b617017147ef1aefd751d16a8608283772fb4fa32b86b

Aliases

arxiv: 1506.00542 · arxiv_version: 1506.00542v1 · doi: 10.48550/arxiv.1506.00542 · pith_short_12: MPU6MYE7DKCD · pith_short_16: MPU6MYE7DKCDWNK3 · pith_short_8: MPU6MYE7

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/MPU6MYE7DKCDWNK3MFYBOFD66G \
  | 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: 63e9e6609f1a843b355b617017147ef1aefd751d16a8608283772fb4fa32b86b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5f38e831feffbc656f3dd0a07bed8e2f3605fdbf6bfdb0bad4ee4d57cb452ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-06-01T15:38:25Z",
    "title_canon_sha256": "9c897e0a92e3e351741c7551a1804859796599d215e32831d37011e2800babc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00542",
    "kind": "arxiv",
    "version": 1
  }
}