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Pith Number

pith:SO7ZLN4D

pith:2012:SO7ZLN4DLIV5VR634OWM7KLA5F
not attested not anchored not stored refs pending

Preservation under Substructures modulo Bounded Cores

Abhisekh Sankaran, Bharat Adsul, Pritish Kamath, Supratik Chakraborty, Vivek Madan

arxiv:1205.1358 v3 · 2012-05-07 · cs.LO · math.LO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{SO7ZLN4DLIV5VR634OWM7KLA5F}

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 2026-05-18T03:51:13.922792Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

93bf95b7835a2bdac7dbe3accfa960e96e56c0c2273650f4d5d2ef2021ab3b0d

Aliases

arxiv: 1205.1358 · arxiv_version: 1205.1358v3 · doi: 10.48550/arxiv.1205.1358 · pith_short_12: SO7ZLN4DLIV5 · pith_short_16: SO7ZLN4DLIV5VR63 · pith_short_8: SO7ZLN4D
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/SO7ZLN4DLIV5VR634OWM7KLA5F \
  | 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: 93bf95b7835a2bdac7dbe3accfa960e96e56c0c2273650f4d5d2ef2021ab3b0d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "90ebd9feeb37483b92fc147cd24f3b2a4dba04b37add2689a2ef415f9ddd0557",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2012-05-07T12:21:22Z",
    "title_canon_sha256": "594d6b3ef0d8c4c7b6400b1fcca7555601613712200cab8661504d76bfe6edf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1358",
    "kind": "arxiv",
    "version": 3
  }
}