Pith Number

pith:MDKNBC3W

pith:2015:MDKNBC3WKWGZID6A7F6TZMKY7J

not attested not anchored not stored refs pending

Harmonic maps with prescribed degrees on the boundary of an annulus and bifurcation of catenoids

Laurent Hauswirth, R\'emy Rodiac

arxiv:1503.03648 v1 · 2015-03-12 · math.AP · math.CV · 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{MDKNBC3WKWGZID6A7F6TZMKY7J}

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	2026-05-18T02:24:27.741311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60d4d08b76558d940fc0f97d3cb158fa78812ecf938824e00d73880a7d1e6fa0

Aliases

arxiv: 1503.03648 · arxiv_version: 1503.03648v1 · doi: 10.48550/arxiv.1503.03648 · pith_short_12: MDKNBC3WKWGZ · pith_short_16: MDKNBC3WKWGZID6A · pith_short_8: MDKNBC3W

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/MDKNBC3WKWGZID6A7F6TZMKY7J \
  | 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: 60d4d08b76558d940fc0f97d3cb158fa78812ecf938824e00d73880a7d1e6fa0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "060e3c4902e66d33e21ef11c8a34ed473826df5a8a7b695c1e0fb9f82d6a68bb",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-12T09:43:30Z",
    "title_canon_sha256": "accec56b4a98dcfb8b99aa1f44ffc847c9078142dfac4ed9891d0c49ad0d2727"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03648",
    "kind": "arxiv",
    "version": 1
  }
}