Pith Number

pith:LULHPU3R

pith:2015:LULHPU3RRJZJ45FGY2OLHZFAIA

not attested not anchored not stored refs pending

Towards Constructing Ramanujan Graphs Using Shift Lifts

Ameya Velingker, Karthekeyan Chandrasekaran

arxiv:1502.07410 v3 · 2015-02-26 · math.CO · cs.CC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LULHPU3RRJZJ45FGY2OLHZFAIA}

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	2026-05-18T01:34:35.036058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d1677d3718a729e74a6c69cb3e4a0400c3dc845559e501c0f4ad2e54ece59cb

Aliases

arxiv: 1502.07410 · arxiv_version: 1502.07410v3 · doi: 10.48550/arxiv.1502.07410 · pith_short_12: LULHPU3RRJZJ · pith_short_16: LULHPU3RRJZJ45FG · pith_short_8: LULHPU3R

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/LULHPU3RRJZJ45FGY2OLHZFAIA \
  | 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: 5d1677d3718a729e74a6c69cb3e4a0400c3dc845559e501c0f4ad2e54ece59cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eac12de462e522415fc1d47ff59de2a9aaf23086fd04dbab991c75da783652b3",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-26T01:06:55Z",
    "title_canon_sha256": "c2499aaabfbc5eb15798e39b9935292e7028d3f549609b215dcefce6c45e45f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07410",
    "kind": "arxiv",
    "version": 3
  }
}