Pith Number

pith:ZZLISAWF

pith:2012:ZZLISAWFYKIJXLIMAQC3Y5RUDZ

not attested not anchored not stored refs pending

Construction of \mu-normal sequences

Bill Mance, Manfred G. Madritsch

arxiv:1206.4950 v3 · 2012-06-21 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZZLISAWFYKIJXLIMAQC3Y5RUDZ}

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	2026-05-18T02:41:09.254361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce568902c5c2909bad0c0405bc76341e6d7e5814e225a0df8eb84e549c03ca26

Aliases

arxiv: 1206.4950 · arxiv_version: 1206.4950v3 · doi: 10.48550/arxiv.1206.4950 · pith_short_12: ZZLISAWFYKIJ · pith_short_16: ZZLISAWFYKIJXLIM · pith_short_8: ZZLISAWF

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/ZZLISAWFYKIJXLIMAQC3Y5RUDZ \
  | 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: ce568902c5c2909bad0c0405bc76341e6d7e5814e225a0df8eb84e549c03ca26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a9803fe004ce9b5d7a7b5e5aa908a5843d8722c0782a20570fbe7a173824fd1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-06-21T17:31:58Z",
    "title_canon_sha256": "f47635b24ec68a9293a7847fc7aebb6a2304e7f7c281cbf6c7808a298725ab19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4950",
    "kind": "arxiv",
    "version": 3
  }
}