Pith Number

pith:FYOV5LS7

pith:2011:FYOV5LS72MDOEQVYQJXEUOU76L

not attested not anchored not stored refs pending

On Extension Of Functors

Lesya Karchevska, Taras Radul

arxiv:1106.0404 v1 · 2011-06-02 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FYOV5LS72MDOEQVYQJXEUOU76L}

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	2026-05-18T04:20:50.426126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e1d5eae5fd306e242b8826e4a3a9ff2c4cee78450bc787eca33a427596de302

Aliases

arxiv: 1106.0404 · arxiv_version: 1106.0404v1 · doi: 10.48550/arxiv.1106.0404 · pith_short_12: FYOV5LS72MDO · pith_short_16: FYOV5LS72MDOEQVY · pith_short_8: FYOV5LS7

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/FYOV5LS72MDOEQVYQJXEUOU76L \
  | 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: 2e1d5eae5fd306e242b8826e4a3a9ff2c4cee78450bc787eca33a427596de302

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a0f56e1d689da1bde162ebd2a04f83ec56b02d8717a442f56ed8ae7d9c750d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2011-06-02T11:31:41Z",
    "title_canon_sha256": "fb56d24f70ed5cfb81f9586958f0bab8109a1b0bf0753e5953fad46cfd3cc1ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0404",
    "kind": "arxiv",
    "version": 1
  }
}