Pith Number

pith:PTXFMJUY

pith:2023:PTXFMJUYMTBW3RQACIT2OVVYY4

not attested not anchored not stored refs pending

Minimal laminations and level sets of 1-harmonic functions

Aidan Backus

arxiv:2311.01541 v2 · 2023-11-02 · math.AP · 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{PTXFMJUYMTBW3RQACIT2OVVYY4}

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	2026-07-05T08:48:11.441642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cee56269864c36dc6001227a756b8c730ea95b6221d842647fdf139294d0bb1

Aliases

arxiv: 2311.01541 · arxiv_version: 2311.01541v2 · doi: 10.48550/arxiv.2311.01541 · pith_short_12: PTXFMJUYMTBW · pith_short_16: PTXFMJUYMTBW3RQA · pith_short_8: PTXFMJUY

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/PTXFMJUYMTBW3RQACIT2OVVYY4 \
  | 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: 7cee56269864c36dc6001227a756b8c730ea95b6221d842647fdf139294d0bb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ec4b343138a8a6ac91a4c2e3efcb212dd7648afa6d914b24a3bf5051f7fee73",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-11-02T18:50:28Z",
    "title_canon_sha256": "62cd0ad16aa94dcbeb325f57455da8e662de43815ccbd4f29cfdd8e251fcafef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.01541",
    "kind": "arxiv",
    "version": 2
  }
}