Pith Number

pith:2Y2IEH4H

pith:2019:2Y2IEH4HXLOZ6U6BDNWF3PUGJK

not attested not anchored not stored refs pending

Evolution algebras, automorphisms, and graphs

Alberto Elduque, Alicia Labra

arxiv:1902.02191 v1 · 2019-02-06 · 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{2Y2IEH4HXLOZ6U6BDNWF3PUGJK}

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.

Cited by

1 paper in Pith

Expander Evolution Algebras

Receipt and verification

First computed	2026-05-17T23:54:37.658717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d634821f87badd9f53c11b6c5dbe864abddc8fdd5897349bdf0af621100a36e1

Aliases

arxiv: 1902.02191 · arxiv_version: 1902.02191v1 · doi: 10.48550/arxiv.1902.02191 · pith_short_12: 2Y2IEH4HXLOZ · pith_short_16: 2Y2IEH4HXLOZ6U6B · pith_short_8: 2Y2IEH4H

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/2Y2IEH4HXLOZ6U6BDNWF3PUGJK \
  | 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: d634821f87badd9f53c11b6c5dbe864abddc8fdd5897349bdf0af621100a36e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b901ccf661f4ef531afb4b9725efaa5ca4003628ceb09e9fc86501bc62a526b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-02-06T14:04:59Z",
    "title_canon_sha256": "87acc0d3d03ed7cbd0f960fc8bc1e418bf08ab9f051acf414eeda89b56987d4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.02191",
    "kind": "arxiv",
    "version": 1
  }
}