Pith Number

pith:IVQJWTVT

pith:2016:IVQJWTVTP64VRMTU7CB7S4IBLK

not attested not anchored not stored refs pending

Congruence Preserving Functions on Free Monoids

Ir\`ene Guessarian, Patrick C\'egielski, Serge Grigorieff

arxiv:1609.01144 v1 · 2016-09-05 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IVQJWTVTP64VRMTU7CB7S4IBLK}

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	2026-05-18T01:06:18.907030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45609b4eb37fb958b274f883f971015ab4dd67d7d977a88564062bac56a39438

Aliases

arxiv: 1609.01144 · arxiv_version: 1609.01144v1 · doi: 10.48550/arxiv.1609.01144 · pith_short_12: IVQJWTVTP64V · pith_short_16: IVQJWTVTP64VRMTU · pith_short_8: IVQJWTVT

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/IVQJWTVTP64VRMTU7CB7S4IBLK \
  | 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: 45609b4eb37fb958b274f883f971015ab4dd67d7d977a88564062bac56a39438

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a75fc7fd8ea6b1212960f518846f58676690d972355b5c38d785d02e9a2c4394",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-09-05T13:22:22Z",
    "title_canon_sha256": "03aad89a5ef4c964b426d2eff520e1a5ddaa7c1cdb44cf86d9dd2afe0c47a627"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01144",
    "kind": "arxiv",
    "version": 1
  }
}