Pith Number

pith:BTCSNGPU

pith:2011:BTCSNGPU7VUKYJPEJPUWEPLNNO

not attested not anchored not stored refs pending

Injective objects and retracts of Fra\"iss\'e limits

Wieslaw Kubi\'s

arxiv:1107.4620 v4 · 2011-07-22 · math.CT · 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{BTCSNGPU7VUKYJPEJPUWEPLNNO}

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	2026-05-18T03:10:58.598501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cc52699f4fd68ac25e44be9623d6d6bad2f8bb1f57b3f79755108e12c7f79ef

Aliases

arxiv: 1107.4620 · arxiv_version: 1107.4620v4 · doi: 10.48550/arxiv.1107.4620 · pith_short_12: BTCSNGPU7VUK · pith_short_16: BTCSNGPU7VUKYJPE · pith_short_8: BTCSNGPU

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/BTCSNGPU7VUKYJPEJPUWEPLNNO \
  | 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: 0cc52699f4fd68ac25e44be9623d6d6bad2f8bb1f57b3f79755108e12c7f79ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e0151a3df0d91b3ffdd4600bebba9bd50cc6a6ca4ce35dff29ec605067c63ed",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2011-07-22T20:34:31Z",
    "title_canon_sha256": "d07dc117be717446981ee4295f3c4a69ba56af39c0bc1ab23b727beef9b55025"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4620",
    "kind": "arxiv",
    "version": 4
  }
}