Pith Number

pith:3YIFCRRW

pith:2013:3YIFCRRWKSYHZSIZMYP646BP5E

not attested not anchored not stored refs pending

A complexity theory of constructible functions and sheaves

Saugata Basu

arxiv:1309.5905 v6 · 2013-09-23 · math.AG · cs.CC · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3YIFCRRWKSYHZSIZMYP646BP5E}

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	2026-05-18T00:33:37.293920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de1051463654b07cc919661fee782fe91fd4ec1c4b88b2222c29515dfef898fa

Aliases

arxiv: 1309.5905 · arxiv_version: 1309.5905v6 · doi: 10.48550/arxiv.1309.5905 · pith_short_12: 3YIFCRRWKSYH · pith_short_16: 3YIFCRRWKSYHZSIZ · pith_short_8: 3YIFCRRW

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3YIFCRRWKSYHZSIZMYP646BP5E \
  | 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: de1051463654b07cc919661fee782fe91fd4ec1c4b88b2222c29515dfef898fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beb672a7438fa52f1127ce2d0ea71d035ccbfc4865e44e5870ceb5709597ae72",
    "cross_cats_sorted": [
      "cs.CC",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-09-23T18:21:18Z",
    "title_canon_sha256": "5f0be29f633ede6f2323e0195690c719e71079f6190ac38b7f68bbac859610db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5905",
    "kind": "arxiv",
    "version": 6
  }
}