Pith Number

pith:PZHNEF4K

pith:2015:PZHNEF4KSN3AXP24JKBZDK3GHJ

not attested not anchored not stored refs pending

Closed orbits in quotient systems

Stefanie Zegowitz

arxiv:1502.02693 v2 · 2015-02-09 · 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{PZHNEF4KSN3AXP24JKBZDK3GHJ}

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	2026-05-18T01:14:45.551909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e4ed2178a93760bbf5c4a8391ab663a42876b80a70c2f5a470ea1da7f1ff12b

Aliases

arxiv: 1502.02693 · arxiv_version: 1502.02693v2 · doi: 10.48550/arxiv.1502.02693 · pith_short_12: PZHNEF4KSN3A · pith_short_16: PZHNEF4KSN3AXP24 · pith_short_8: PZHNEF4K

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/PZHNEF4KSN3AXP24JKBZDK3GHJ \
  | 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: 7e4ed2178a93760bbf5c4a8391ab663a42876b80a70c2f5a470ea1da7f1ff12b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3f006a9b05ad5f46af417ec5a8b28e88dd2ac95c056dfc788edd483c1dd5c2e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-02-09T21:22:44Z",
    "title_canon_sha256": "781d73f9f88aec6314f06215d1c3f28eabcbf5781fee067ad0a4ba2e20b8932c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02693",
    "kind": "arxiv",
    "version": 2
  }
}