Pith Number

pith:X3MGIL2I

pith:2016:X3MGIL2IP4ZSULQ3FVTHCKNFUE

not attested not anchored not stored refs pending

Cocompletion of restriction categories

Daniel Lin, Richard Garner

arxiv:1610.07164 v1 · 2016-10-23 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X3MGIL2IP4ZSULQ3FVTHCKNFUE}

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	2026-05-18T01:01:35.087550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bed8642f487f332a2e1b2d667129a5a12acc06af040087aca524c9d57190c748

Aliases

arxiv: 1610.07164 · arxiv_version: 1610.07164v1 · doi: 10.48550/arxiv.1610.07164 · pith_short_12: X3MGIL2IP4ZS · pith_short_16: X3MGIL2IP4ZSULQ3 · pith_short_8: X3MGIL2I

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/X3MGIL2IP4ZSULQ3FVTHCKNFUE \
  | 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: bed8642f487f332a2e1b2d667129a5a12acc06af040087aca524c9d57190c748

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd8f2a78debb1e18b59a0e1d792fbf70079748814fff8af782803df41df12bc1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-10-23T13:07:34Z",
    "title_canon_sha256": "efb8b50799f7749625a16bfb19881c55c331a882291b9357d88148ac22efcac1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07164",
    "kind": "arxiv",
    "version": 1
  }
}