Pith Number

pith:ZRAJI2WB

pith:2014:ZRAJI2WBGYPJN7MW6Z63W2OMUQ

not attested not anchored not stored refs pending

An upper bound for the length of a Traveling Salesman path in the Heisenberg group

Raanan Schul, Sean Li

arxiv:1403.3951 v3 · 2014-03-16 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZRAJI2WBGYPJN7MW6Z63W2OMUQ}

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	2026-05-18T01:36:31.590914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc40946ac1361e96fd96f67dbb69cca40b825206b6011fc40d7ee7a91e276fda

Aliases

arxiv: 1403.3951 · arxiv_version: 1403.3951v3 · doi: 10.48550/arxiv.1403.3951 · pith_short_12: ZRAJI2WBGYPJ · pith_short_16: ZRAJI2WBGYPJN7MW · pith_short_8: ZRAJI2WB

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/ZRAJI2WBGYPJN7MW6Z63W2OMUQ \
  | 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: cc40946ac1361e96fd96f67dbb69cca40b825206b6011fc40d7ee7a91e276fda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80307d611435317897fe662d2e5d8669496660082e07118fa85ba424fcb8c4e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-03-16T19:16:50Z",
    "title_canon_sha256": "3e2cc887a73c0e948f0e2e6e66801d39037c9d5b2e68717841029653a99e8115"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3951",
    "kind": "arxiv",
    "version": 3
  }
}