Pith Number

pith:EGSTMK6D

pith:2014:EGSTMK6DRO6CPTFGTRCRELYK7T

not attested not anchored not stored refs pending

On Freiman's 3k-4 theorem

Prem Prakash Pandey, R. Balasubramanian

arxiv:1412.0353 v3 · 2014-12-01 · 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{EGSTMK6DRO6CPTFGTRCRELYK7T}

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	2026-05-18T00:37:48.997807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21a5362bc38bbc27cca69c45122f0afcd64980bf65a32ec63c2726e32d8a3349

Aliases

arxiv: 1412.0353 · arxiv_version: 1412.0353v3 · doi: 10.48550/arxiv.1412.0353 · pith_short_12: EGSTMK6DRO6C · pith_short_16: EGSTMK6DRO6CPTFG · pith_short_8: EGSTMK6D

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/EGSTMK6DRO6CPTFGTRCRELYK7T \
  | 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: 21a5362bc38bbc27cca69c45122f0afcd64980bf65a32ec63c2726e32d8a3349

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7604fbc423f9a19f4a4d98f512bdb7a81e4e1b37d8efc4f028f04ef4d7c4a668",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-01T05:31:02Z",
    "title_canon_sha256": "7022c883c079dce3adedceea33554b612ff6b2459b55d8f65316d368d1bd4732"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0353",
    "kind": "arxiv",
    "version": 3
  }
}