Pith Number

pith:XJ53RKGX

pith:2016:XJ53RKGXJX5TJHZGEZNK3MSLT2

not attested not anchored not stored refs pending

Variations on the Concept of Topological Transitivity

Anima Nagar, Ethan Akin, Joseph Auslander

arxiv:1601.05614 v1 · 2016-01-21 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XJ53RKGXJX5TJHZGEZNK3MSLT2}

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	2026-05-18T01:22:13.374837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba7bb8a8d74dfb349f26265aadb24b9e9a848e575566be0c9b224c4fd6e7edd6

Aliases

arxiv: 1601.05614 · arxiv_version: 1601.05614v1 · doi: 10.48550/arxiv.1601.05614 · pith_short_12: XJ53RKGXJX5T · pith_short_16: XJ53RKGXJX5TJHZG · pith_short_8: XJ53RKGX

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/XJ53RKGXJX5TJHZGEZNK3MSLT2 \
  | 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: ba7bb8a8d74dfb349f26265aadb24b9e9a848e575566be0c9b224c4fd6e7edd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f57c1a6eea7bfd981fb75216dc2780bb2670854a281b264bc2369db113d9e5f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-01-21T12:49:56Z",
    "title_canon_sha256": "c2319a57a0f341ae6cb76045bad9ff07219fd5afcbef931030f23dfd2812f667"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05614",
    "kind": "arxiv",
    "version": 1
  }
}