Pith. sign in
Pith Number

pith:AGSSWUCY

pith:2025:AGSSWUCYAS5OZX64TDYURE7KBM
not attested not anchored not stored refs pending

Closure under factorization from a result of Furstenberg

Mrinal Kumar, Ramprasad Saptharishi, Shanthanu S. Rai, Shubhangi Saraf, Somnath Bhattacharjee, Varun Ramanathan

arxiv:2506.23214 v1 · 2025-06-29 · cs.CC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{AGSSWUCYAS5OZX64TDYURE7KBM}

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 2026-07-05T11:29:17.922466Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

01a52b505804baecdfdc98f14893ea0b3cc0bea520e2d895fe3523d1f97bd5b7

Aliases

arxiv: 2506.23214 · arxiv_version: 2506.23214v1 · doi: 10.48550/arxiv.2506.23214 · pith_short_12: AGSSWUCYAS5O · pith_short_16: AGSSWUCYAS5OZX64 · pith_short_8: AGSSWUCY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/AGSSWUCYAS5OZX64TDYURE7KBM \
  | 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: 01a52b505804baecdfdc98f14893ea0b3cc0bea520e2d895fe3523d1f97bd5b7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "96263ee36c9a0d93b1807df57ddc3aca305379ef75c48beafa4553dd6e2bdf26",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2025-06-29T12:54:30Z",
    "title_canon_sha256": "e36b802d8e7e9fb35c8f3f814d65322b7db9568750db5b7b8dd0a8581b5f340b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.23214",
    "kind": "arxiv",
    "version": 1
  }
}