Pith Number

pith:NWSAFKLX

pith:2016:NWSAFKLXHMLIOTVYA67BSAN4QG

not attested not anchored not stored refs pending

Eilenberg Theorems for Free

Henning Urbat, Ji\v{r}\'i Ad\'amek, Liang-Ting Chen, Stefan Milius

arxiv:1602.05831 v3 · 2016-02-18 · cs.FL · 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{NWSAFKLXHMLIOTVYA67BSAN4QG}

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	2026-05-18T00:50:06.912964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6da402a9773b16874eb807be1901bc81b48d832f1e1412e855a1488ab3f0003f

Aliases

arxiv: 1602.05831 · arxiv_version: 1602.05831v3 · doi: 10.48550/arxiv.1602.05831 · pith_short_12: NWSAFKLXHMLI · pith_short_16: NWSAFKLXHMLIOTVY · pith_short_8: NWSAFKLX

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/NWSAFKLXHMLIOTVYA67BSAN4QG \
  | 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: 6da402a9773b16874eb807be1901bc81b48d832f1e1412e855a1488ab3f0003f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3281d81104b2e5b9791cc7dd95b3526ffb36bf94cf5a3ac84fc45af71705da53",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2016-02-18T15:15:43Z",
    "title_canon_sha256": "d9e0caee2c8c074fb9abd082cfc60e2492fa3e3f5374150ee1e65f81fe218e56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05831",
    "kind": "arxiv",
    "version": 3
  }
}