Pith Number

pith:KFVSE4UY

pith:2017:KFVSE4UYQG6GUXUPMOLKMFXNA3

not attested not anchored not stored refs pending

Approximability of word maps by homomorphisms

Alexander Bors

arxiv:1708.00477 v1 · 2017-08-01 · 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{KFVSE4UYQG6GUXUPMOLKMFXNA3}

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	2026-05-18T00:38:45.643395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

516b22729881bc6a5e8f6396a616ed06db45e2c0e442bd035cf533d22b367be6

Aliases

arxiv: 1708.00477 · arxiv_version: 1708.00477v1 · doi: 10.48550/arxiv.1708.00477 · pith_short_12: KFVSE4UYQG6G · pith_short_16: KFVSE4UYQG6GUXUP · pith_short_8: KFVSE4UY

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/KFVSE4UYQG6GUXUPMOLKMFXNA3 \
  | 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: 516b22729881bc6a5e8f6396a616ed06db45e2c0e442bd035cf533d22b367be6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8ea9d17a24bb1da1ef4f76adcfcf2837afbb53f3952383bb6d421429ea1508e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-08-01T19:09:48Z",
    "title_canon_sha256": "37422534028386aa84efb89ec3262d23c04fb2698b47818dde1aa6f72bfa4c1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00477",
    "kind": "arxiv",
    "version": 1
  }
}