Pith Number

pith:LSSLLQ4O

pith:2011:LSSLLQ4O5TCK6GKUU52EMEY5UM

not attested not anchored not stored refs pending

10 conjectures in additive number theory

Benoit Cloitre

arxiv:1101.4274 v1 · 2011-01-22 · 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{LSSLLQ4O5TCK6GKUU52EMEY5UM}

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	2026-05-18T02:22:50.537140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ca4b5c38eecc4af1954a77446131da314ab5d4d5333af9113938e6d3138006d

Aliases

arxiv: 1101.4274 · arxiv_version: 1101.4274v1 · doi: 10.48550/arxiv.1101.4274 · pith_short_12: LSSLLQ4O5TCK · pith_short_16: LSSLLQ4O5TCK6GKU · pith_short_8: LSSLLQ4O

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/LSSLLQ4O5TCK6GKUU52EMEY5UM \
  | 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: 5ca4b5c38eecc4af1954a77446131da314ab5d4d5333af9113938e6d3138006d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "489f4fa5bb7166c2fd7705f96667d95f65a0ee9a1cb54e6459cd5603669da33e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-01-22T08:38:47Z",
    "title_canon_sha256": "be871e3690914f001424ade2b14cd6eaedf52703b63d57fc29bca77d6746a312"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4274",
    "kind": "arxiv",
    "version": 1
  }
}