Pith Number

pith:NWFKFJNY

pith:2015:NWFKFJNYS26OYIH4JNMOAHGUBD

not attested not anchored not stored refs pending

On monoids of injective partial cofinite selfmaps

Du\v{s}an Repov\v{s}, Oleg Gutik

arxiv:1512.03779 v1 · 2015-12-11 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NWFKFJNYS26OYIH4JNMOAHGUBD}

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	2026-05-18T01:24:31.374013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d8aa2a5b896bcec20fc4b58e01cd408d449983ddb72f566e66b5137d689b8f8

Aliases

arxiv: 1512.03779 · arxiv_version: 1512.03779v1 · doi: 10.48550/arxiv.1512.03779 · pith_short_12: NWFKFJNYS26O · pith_short_16: NWFKFJNYS26OYIH4 · pith_short_8: NWFKFJNY

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/NWFKFJNYS26OYIH4JNMOAHGUBD \
  | 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: 6d8aa2a5b896bcec20fc4b58e01cd408d449983ddb72f566e66b5137d689b8f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "304551bc707c2d3fb1787647791334175e9ef65baeb7592ee859631d9dc893dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-12-11T20:02:43Z",
    "title_canon_sha256": "1199fa5658e38560075c69c951923969d007d46b52877b28d93507d62ed13e5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03779",
    "kind": "arxiv",
    "version": 1
  }
}