Pith Number

pith:DTIAG6IR

pith:2012:DTIAG6IRVEHQOYZSY5YCPTEL6E

not attested not anchored not stored refs pending

Generalized Measures of Fault Tolerance in Exchanged Hypercubes

Jun-Ming Xu, Xiang-jun Li

arxiv:1211.3814 v1 · 2012-11-16 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DTIAG6IRVEHQOYZSY5YCPTEL6E}

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	2026-05-18T03:40:37.935731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cd0037911a90f076332c77027cc8bf135da6c4b96db6e95543e9ff549e80be6

Aliases

arxiv: 1211.3814 · arxiv_version: 1211.3814v1 · doi: 10.48550/arxiv.1211.3814 · pith_short_12: DTIAG6IRVEHQ · pith_short_16: DTIAG6IRVEHQOYZS · pith_short_8: DTIAG6IR

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/DTIAG6IRVEHQOYZSY5YCPTEL6E \
  | 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: 1cd0037911a90f076332c77027cc8bf135da6c4b96db6e95543e9ff549e80be6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76597c4ebb6ff65dcbb61ea029c9c9584f88cb6abaee81416f23c75f6885b63b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-16T07:40:40Z",
    "title_canon_sha256": "3467a81b08ef3c6f2a847cb5800b988ed981703890dced2b4e66be1504ddfad0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3814",
    "kind": "arxiv",
    "version": 1
  }
}