Pith Number

pith:YX2V4ZXM

pith:2017:YX2V4ZXMJRO5L2J23ZLG3IGVRK

not attested not anchored not stored refs pending

$(n,\rho)-$harmonic mappings and energy minimal deformations between annuli

David Kalaj

arxiv:1703.06639 v2 · 2017-03-20 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YX2V4ZXMJRO5L2J23ZLG3IGVRK}

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	2026-05-18T00:44:51.371448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5f55e66ec4c5dd5e93ade566da0d58ab60332c81499dd027407e10f6e306abc

Aliases

arxiv: 1703.06639 · arxiv_version: 1703.06639v2 · doi: 10.48550/arxiv.1703.06639 · pith_short_12: YX2V4ZXMJRO5 · pith_short_16: YX2V4ZXMJRO5L2J2 · pith_short_8: YX2V4ZXM

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/YX2V4ZXMJRO5L2J23ZLG3IGVRK \
  | 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: c5f55e66ec4c5dd5e93ade566da0d58ab60332c81499dd027407e10f6e306abc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57ee290a2c1e83024926958514545a76cc20feb232b3d2ab6a4184f1a47f2d14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-03-20T09:15:22Z",
    "title_canon_sha256": "823b5fc636aef15b018f1eddd887009da7430cd5d9ca4d7b8c7c3478e0f279c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06639",
    "kind": "arxiv",
    "version": 2
  }
}