Pith Number

pith:NA2UGALA

pith:2012:NA2UGALAFD5NLY2XWFFQI2OJBI

not attested not anchored not stored refs pending

On a transformation of Bohl and its discrete analogue

Evans M. Harrell II, Manwah Lilian Wong

arxiv:1212.1427 v1 · 2012-12-06 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NA2UGALAFD5NLY2XWFFQI2OJBI}

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	2026-05-18T03:39:03.982827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

683543016028fad5e357b14b0469c90a3f0b578f16f5d27f50cdeee2f1052be7

Aliases

arxiv: 1212.1427 · arxiv_version: 1212.1427v1 · doi: 10.48550/arxiv.1212.1427 · pith_short_12: NA2UGALAFD5N · pith_short_16: NA2UGALAFD5NLY2X · pith_short_8: NA2UGALA

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/NA2UGALAFD5NLY2XWFFQI2OJBI \
  | 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: 683543016028fad5e357b14b0469c90a3f0b578f16f5d27f50cdeee2f1052be7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2781240254aad9f511fc4324f0d7ab2740a20f14d8d540ea19b15117c18b910",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-12-06T19:50:33Z",
    "title_canon_sha256": "50e5e5e6960223cf1348610fe4e80d31afa0bd98a35233d0dd64c305802d5075"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1427",
    "kind": "arxiv",
    "version": 1
  }
}