Pith Number

pith:GGYBMTXA

pith:2013:GGYBMTXA7YKPWOF5TZTHYTDGLS

not attested not anchored not stored refs pending

Constraining transmission and reflection probabilities by using the Miller-Good transformation

Matt Visser, Petarpa Boonserm

arxiv:1301.7516 v1 · 2013-01-31 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GGYBMTXA7YKPWOF5TZTHYTDGLS}

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	2026-05-18T03:34:49.361094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31b0164ee0fe14fb38bd9e667c4c665ca36bdbd25362168e323c4fce3f78a72f

Aliases

arxiv: 1301.7516 · arxiv_version: 1301.7516v1 · doi: 10.48550/arxiv.1301.7516 · pith_short_12: GGYBMTXA7YKP · pith_short_16: GGYBMTXA7YKPWOF5 · pith_short_8: GGYBMTXA

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/GGYBMTXA7YKPWOF5TZTHYTDGLS \
  | 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: 31b0164ee0fe14fb38bd9e667c4c665ca36bdbd25362168e323c4fce3f78a72f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7282054fb6d8e06d021ecde0e0c5d6951742cc4c0ad4adcde65ccd0b0634503",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-01-31T05:18:32Z",
    "title_canon_sha256": "39fd1716f6dff97817e494c1e264eea98484cdb00aa49c7672caea6b5826661f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7516",
    "kind": "arxiv",
    "version": 1
  }
}