Pith Number

pith:HQNJCTPX

pith:2016:HQNJCTPXXCUZXPB7ZTOK6KAH6N

not attested not anchored not stored refs pending

Largest projections for random walks and shortest curves in random mapping tori

Alessandro Sisto, Samuel J. Taylor

arxiv:1611.07545 v2 · 2016-11-22 · math.GT · math.GR · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HQNJCTPXXCUZXPB7ZTOK6KAH6N}

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	2026-05-18T00:42:39.213187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c1a914df7b8a99bbc3fccdcaf2807f341ca0276e98a41ca1ac992121429144d

Aliases

arxiv: 1611.07545 · arxiv_version: 1611.07545v2 · doi: 10.48550/arxiv.1611.07545 · pith_short_12: HQNJCTPXXCUZ · pith_short_16: HQNJCTPXXCUZXPB7 · pith_short_8: HQNJCTPX

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/HQNJCTPXXCUZXPB7ZTOK6KAH6N \
  | 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: 3c1a914df7b8a99bbc3fccdcaf2807f341ca0276e98a41ca1ac992121429144d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b33845f7367171b47fb9cd21494c41f850adefb4730c38041dc656e807233d1f",
    "cross_cats_sorted": [
      "math.GR",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-11-22T21:35:50Z",
    "title_canon_sha256": "f30a7a0d410f673661f7732d6c41e61a30f969ec8e23c2132fc05dc2f597ada9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07545",
    "kind": "arxiv",
    "version": 2
  }
}