Pith Number

pith:4U55HAJU

pith:2013:4U55HAJUY5L5LGFW5ND5CKNO3J

not attested not anchored not stored refs pending

On a Theorem of Deshouillers and Freiman

Prem Prakash Pandey, R. Balasubramanian

arxiv:1309.5712 v1 · 2013-09-23 · 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{4U55HAJUY5L5LGFW5ND5CKNO3J}

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	2026-05-18T03:12:34.382066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e53bd38134c757d598b6eb47d129aeda70429a9caa41318b18e47b200d544ca6

Aliases

arxiv: 1309.5712 · arxiv_version: 1309.5712v1 · doi: 10.48550/arxiv.1309.5712 · pith_short_12: 4U55HAJUY5L5 · pith_short_16: 4U55HAJUY5L5LGFW · pith_short_8: 4U55HAJU

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/4U55HAJUY5L5LGFW5ND5CKNO3J \
  | 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: e53bd38134c757d598b6eb47d129aeda70429a9caa41318b18e47b200d544ca6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "912c584d381dfadd7503e5808879246d169321f36eea281566b7887e857e65e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-23T07:07:37Z",
    "title_canon_sha256": "4736f420c55567e2aa55eba05d26ad17ea108ec834d1b029d52d82d590a2ed43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5712",
    "kind": "arxiv",
    "version": 1
  }
}