Pith Number

pith:N4V43N7D

pith:2017:N4V43N7DDSU7MPKJRHSI3F2AKV

not attested not anchored not stored refs pending

Linear and quadratic ranges in representation stability

Jens Reinhold, Jeremy Miller, Rohit Nagpal, Thomas Church

arxiv:1706.03845 v2 · 2017-06-12 · math.RT · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N4V43N7DDSU7MPKJRHSI3F2AKV}

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	2026-05-18T00:16:36.967893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f2bcdb7e31ca9f63d4989e48d9740555c4ddaf70c8d6de6437d6c5952292c62

Aliases

arxiv: 1706.03845 · arxiv_version: 1706.03845v2 · doi: 10.48550/arxiv.1706.03845 · pith_short_12: N4V43N7DDSU7 · pith_short_16: N4V43N7DDSU7MPKJ · pith_short_8: N4V43N7D

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/N4V43N7DDSU7MPKJRHSI3F2AKV \
  | 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: 6f2bcdb7e31ca9f63d4989e48d9740555c4ddaf70c8d6de6437d6c5952292c62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd4bb882bc858a98656fe39203a09f315ef703f2da7fd322f8f8482417c528ce",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-06-12T20:46:17Z",
    "title_canon_sha256": "4dc1f734c748772477d1d5ff3250ee2f9312b88fc0f0b5f28031903f311dad5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.03845",
    "kind": "arxiv",
    "version": 2
  }
}