Pith Number

pith:AMRTB3BE

pith:2010:AMRTB3BEAA7NW6HSUKVVTPHAWD

not attested not anchored not stored refs pending

On Boundedness

Huseyin Cakalli

arxiv:1012.0543 v2 · 2010-12-02 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AMRTB3BEAA7NW6HSUKVVTPHAWD}

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	2026-05-18T04:23:21.126509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

032330ec24003edb78f2a2ab59bce0b0d0452ff7b2584c09f97ba94f546aa80d

Aliases

arxiv: 1012.0543 · arxiv_version: 1012.0543v2 · doi: 10.48550/arxiv.1012.0543 · pith_short_12: AMRTB3BEAA7N · pith_short_16: AMRTB3BEAA7NW6HS · pith_short_8: AMRTB3BE

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/AMRTB3BEAA7NW6HSUKVVTPHAWD \
  | 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: 032330ec24003edb78f2a2ab59bce0b0d0452ff7b2584c09f97ba94f546aa80d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "626090c6315c1474318f9c38e48281b5ebdb4d0e351b8d1b38028ee2c17439cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-12-02T19:20:28Z",
    "title_canon_sha256": "fba643cb6b6fd8d134376e34981e647ebb992cc1a7395be942674a2a2c78305f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0543",
    "kind": "arxiv",
    "version": 2
  }
}