Pith. sign in
Pith Number

pith:G4NXZZEC

pith:2017:G4NXZZEC2EBGGGQ6U2NMYUUJNY
not attested not anchored not stored refs pending

Low stages of the Taylor tower for r-immersions

Bridget Schreiner, Franjo Sarcevic, Ismar Volic

arxiv:1707.03048 v2 · 2017-07-10 · math.AT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{G4NXZZEC2EBGGGQ6U2NMYUUJNY}

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 2026-07-05T00:38:22.866217Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

371b7ce482d102631a1ea69acc52896e1b76fd71f3bac787fbbe620ba890d025

Aliases

arxiv: 1707.03048 · arxiv_version: 1707.03048v2 · doi: 10.48550/arxiv.1707.03048 · pith_short_12: G4NXZZEC2EBG · pith_short_16: G4NXZZEC2EBGGGQ6 · pith_short_8: G4NXZZEC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/G4NXZZEC2EBGGGQ6U2NMYUUJNY \
  | 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: 371b7ce482d102631a1ea69acc52896e1b76fd71f3bac787fbbe620ba890d025
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "760575512c88688b1a14667cac1cf6e2590d9dad7ea4f4baf478058acb06fa6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-07-10T20:20:41Z",
    "title_canon_sha256": "8e49aa0ef93778b7e3ec68253b9ebe235f6476fbb0c9ff7d1e70be50fa9c1946"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03048",
    "kind": "arxiv",
    "version": 2
  }
}