pith. sign in
Pith Number

pith:DU7NXVTZ

pith:2012:DU7NXVTZTX5F7OLQMCWY6UJGSX
not attested not anchored not stored refs pending

No input symbol should occur more frequently than 1-1/e

Alexandros Manolakos, Gowtham Kumar

arxiv:1201.6425 v1 · 2012-01-31 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DU7NXVTZTX5F7OLQMCWY6UJGSX}

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 2026-05-18T04:03:31.538503Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1d3edbd6799dfa5fb97060ad8f512695e2f87507d020e5474adb97a85a2af615

Aliases

arxiv: 1201.6425 · arxiv_version: 1201.6425v1 · doi: 10.48550/arxiv.1201.6425 · pith_short_12: DU7NXVTZTX5F · pith_short_16: DU7NXVTZTX5F7OLQ · pith_short_8: DU7NXVTZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DU7NXVTZTX5F7OLQMCWY6UJGSX \
  | 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: 1d3edbd6799dfa5fb97060ad8f512695e2f87507d020e5474adb97a85a2af615
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9794410fc2a8848a3ec9ebe095bfdafa154f2680e3898909b7a1b08bfba308ee",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-01-31T03:16:20Z",
    "title_canon_sha256": "0c5992847f9de4fb0531a3b1692209d0d6668d0aa1f32452edaf7e0f8b7824d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6425",
    "kind": "arxiv",
    "version": 1
  }
}