pith. sign in
Pith Number

pith:F4RQRJTS

pith:2015:F4RQRJTSEJXG3OW4RLP6Q7JQ5T
not attested not anchored not stored refs pending

Factorization of Bijections onto Ordered Spaces

Alex Chigogidze, Raushan Buzyakova

arxiv:1511.02849 v1 · 2015-11-07 · math.GN

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{F4RQRJTSEJXG3OW4RLP6Q7JQ5T}

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 2026-05-18T01:27:17.565825Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2f2308a672226e6dbadc8adfe87d30ecdfe9054ce9a6ab6ca2d826e1d420adc8

Aliases

arxiv: 1511.02849 · arxiv_version: 1511.02849v1 · doi: 10.48550/arxiv.1511.02849 · pith_short_12: F4RQRJTSEJXG · pith_short_16: F4RQRJTSEJXG3OW4 · pith_short_8: F4RQRJTS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/F4RQRJTSEJXG3OW4RLP6Q7JQ5T \
  | 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: 2f2308a672226e6dbadc8adfe87d30ecdfe9054ce9a6ab6ca2d826e1d420adc8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e817d74582665177b009bbd213d439039756c2afad40e5a7e7637c4a79115ee4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2015-11-07T19:32:33Z",
    "title_canon_sha256": "8ac41e14521a96684662a583b802b31592a84a45990591515249664253644260"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02849",
    "kind": "arxiv",
    "version": 1
  }
}