Pith Number

pith:BG32LHTL

pith:2025:BG32LHTLFT24TZGFW5GEICE7SF

not attested not anchored not stored refs pending

An Efficient Algorithm for Path Recovery from Signature Tensors

Leonard Schmitz

arxiv:2512.14218 v2 · 2025-12-16 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BG32LHTLFT24TZGFW5GEICE7SF}

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.

Cited by

2 papers in Pith

SignatureTensors.jl: A Package for Signature Tensors in Julia

Receipt and verification

First computed	2026-06-19T16:11:18.504623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09b7a59e6b2cf5c9e4c5b74c44089f915289ca1e9e1db6969a32a71ab851c81a

Aliases

arxiv: 2512.14218 · arxiv_version: 2512.14218v2 · doi: 10.48550/arxiv.2512.14218 · pith_short_12: BG32LHTLFT24 · pith_short_16: BG32LHTLFT24TZGF · pith_short_8: BG32LHTL

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/BG32LHTLFT24TZGFW5GEICE7SF \
  | 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: 09b7a59e6b2cf5c9e4c5b74c44089f915289ca1e9e1db6969a32a71ab851c81a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "110b32128bd0c2fa2511f5ca1d92c7d608d75611052175334b3a191e6d30f7cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2025-12-16T09:11:48Z",
    "title_canon_sha256": "7971579ea0dfa138516384d5931ad24a7c0a2020c17a533f543849f6effafb49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.14218",
    "kind": "arxiv",
    "version": 2
  }
}