Pith Number

pith:MACDMQTO

pith:2014:MACDMQTOLPSBEJ4BBECEKTWF7W

not attested not anchored not stored refs pending

Multiple-correction and Faster Approximation

Hongmin Xu, Xiaodong Cao, Xu You

arxiv:1409.0968 v1 · 2014-09-03 · 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{MACDMQTOLPSBEJ4BBECEKTWF7W}

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	2026-05-18T02:43:44.668748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

600436426e5be41227810904454ec5fda4ac6b0b68b0c894a88105b9b205012b

Aliases

arxiv: 1409.0968 · arxiv_version: 1409.0968v1 · doi: 10.48550/arxiv.1409.0968 · pith_short_12: MACDMQTOLPSB · pith_short_16: MACDMQTOLPSBEJ4B · pith_short_8: MACDMQTO

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/MACDMQTOLPSBEJ4BBECEKTWF7W \
  | 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: 600436426e5be41227810904454ec5fda4ac6b0b68b0c894a88105b9b205012b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28ced86904f0aef89f844ad48c7268d17dcf68e36191793e3cec8f0468e4a0e2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-03T07:01:42Z",
    "title_canon_sha256": "4b624b1d2080eba268d1cc784ddacd92832e0c3cf3f779675ada3f2bc8505132"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0968",
    "kind": "arxiv",
    "version": 1
  }
}