Pith Number

pith:GT6UG5FY

pith:2016:GT6UG5FYS5FOY4QV36AGAITAY6

not attested not anchored not stored refs pending

Iterating Symmetric Extensions

Asaf Karagila

arxiv:1606.06718 v4 · 2016-06-21 · 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{GT6UG5FYS5FOY4QV36AGAITAY6}

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	2026-05-17T23:50:16.636939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34fd4374b8974aec7215df80602260c7befa3ce430543406bfffc0d0c6ba270d

Aliases

arxiv: 1606.06718 · arxiv_version: 1606.06718v4 · doi: 10.48550/arxiv.1606.06718 · pith_short_12: GT6UG5FYS5FO · pith_short_16: GT6UG5FYS5FOY4QV · pith_short_8: GT6UG5FY

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/GT6UG5FYS5FOY4QV36AGAITAY6 \
  | 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: 34fd4374b8974aec7215df80602260c7befa3ce430543406bfffc0d0c6ba270d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0470c1d58292246799c55e47997565ead438bb66236c0ca75310ad55fc07c5be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-06-21T19:40:59Z",
    "title_canon_sha256": "e671cf760ee155c308ca120ba03181f371b75a93ff77d50b3584b445330f6133"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06718",
    "kind": "arxiv",
    "version": 4
  }
}