Pith Number

pith:RICTKV57

pith:2018:RICTKV57XIDYW6PBWOL2C3YTDT

not attested not anchored not stored refs pending

Harmonic maps between two concentric annuli in $\mathbf{R}^3$

David Kalaj

arxiv:1809.09893 v2 · 2018-09-26 · 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{RICTKV57XIDYW6PBWOL2C3YTDT}

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	2026-05-18T00:04:29.100695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a053557bfba078b79e1b397a16f131cd1dc8b564b63d92549d6d6d2af088b6f

Aliases

arxiv: 1809.09893 · arxiv_version: 1809.09893v2 · doi: 10.48550/arxiv.1809.09893 · pith_short_12: RICTKV57XIDY · pith_short_16: RICTKV57XIDYW6PB · pith_short_8: RICTKV57

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/RICTKV57XIDYW6PBWOL2C3YTDT \
  | 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: 8a053557bfba078b79e1b397a16f131cd1dc8b564b63d92549d6d6d2af088b6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edec016d1bb2827ac74858faf4787287e59d217e6410be70f8eac75aab99d7b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-09-26T10:32:52Z",
    "title_canon_sha256": "f604a43308818fbdf2e08af3a9f6e5f5351db2e728bb91d3c44ac00f165b8960"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09893",
    "kind": "arxiv",
    "version": 2
  }
}