Pith Number

pith:AZKFRF6R

pith:2013:AZKFRF6R2OQEYD244SGKJG4B2Q

not attested not anchored not stored refs pending

On Pyber's base size conjecture

\'Akos Seress, Timothy Burness

arxiv:1309.5584 v2 · 2013-09-22 · 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{AZKFRF6R2OQEYD244SGKJG4B2Q}

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	2026-05-18T03:06:54.314630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06545897d1d3a04c0f5ce48ca49b81d4352beaf379dad36fc0ab7b046dcb2ee3

Aliases

arxiv: 1309.5584 · arxiv_version: 1309.5584v2 · doi: 10.48550/arxiv.1309.5584 · pith_short_12: AZKFRF6R2OQE · pith_short_16: AZKFRF6R2OQEYD24 · pith_short_8: AZKFRF6R

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/AZKFRF6R2OQEYD244SGKJG4B2Q \
  | 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: 06545897d1d3a04c0f5ce48ca49b81d4352beaf379dad36fc0ab7b046dcb2ee3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "409e5de59e2313dc766043c431df099514a3d7e29891ec91135d7abaef468274",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-09-22T10:03:36Z",
    "title_canon_sha256": "71c66f56af3818175430fc6974c5c7fae52b1da3a3bf8f7f29156b3a3a321799"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5584",
    "kind": "arxiv",
    "version": 2
  }
}