Pith. sign in
Pith Number

pith:4YW5CL6R

pith:2026:4YW5CL6RSDZ7F47V2XU4L5TIGX
not attested not anchored not stored refs pending

Extension Types for Free

Nicolai Kraus

arxiv:2607.27387 v1 · 2026-07-29 · cs.LO · math.AT · math.CT · math.LO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4YW5CL6RSDZ7F47V2XU4L5TIGX}

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 2026-07-31T00:10:51.141096Z
Builder pith-number-builder-2026-05-17-v1
Signature unsigned_v0
Schema pith-number/v1.0

Canonical hash

e62dd12fd190f3f2f3f5d5e9c5f66835fdebb3374cfdd1e3e0123b766ce968b3

Aliases

arxiv: 2607.27387 · arxiv_version: 2607.27387v1 · doi: 10.48550/arxiv.2607.27387 · pith_short_12: 4YW5CL6RSDZ7 · pith_short_16: 4YW5CL6RSDZ7F47V · pith_short_8: 4YW5CL6R
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4YW5CL6RSDZ7F47V2XU4L5TIGX \
  | 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: e62dd12fd190f3f2f3f5d5e9c5f66835fdebb3374cfdd1e3e0123b766ce968b3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2a616dde593e57b3f96296bfba5a750ed31279739bdbc7bcf81ccc80c1f18248",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT",
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2026-07-29T18:48:13Z",
    "title_canon_sha256": "37e874191c2873cd437f02db78116ea1cb6cf3970d00573309c9a3047eae592d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27387",
    "kind": "arxiv",
    "version": 1
  }
}