Pith Number

pith:S4CWVYU4

pith:2013:S4CWVYU4N4V4GBE2ATZRSJYOWT

not attested not anchored not stored refs pending

Dynamical invariants for group automorphisms

Matthew Staines, Richard Miles, Thomas Ward

arxiv:1306.6030 v1 · 2013-06-25 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S4CWVYU4N4V4GBE2ATZRSJYOWT}

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	2026-05-18T01:01:16.372706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97056ae29c6f2bc3049a04f319270eb4e6dadb017c8f18f396709afddcc7f6a9

Aliases

arxiv: 1306.6030 · arxiv_version: 1306.6030v1 · doi: 10.48550/arxiv.1306.6030 · pith_short_12: S4CWVYU4N4V4 · pith_short_16: S4CWVYU4N4V4GBE2 · pith_short_8: S4CWVYU4

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/S4CWVYU4N4V4GBE2ATZRSJYOWT \
  | 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: 97056ae29c6f2bc3049a04f319270eb4e6dadb017c8f18f396709afddcc7f6a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a0224618c816a9dee4c5755e9247f99b9bf989716857ad0883db6718bae8bc3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-06-25T16:51:55Z",
    "title_canon_sha256": "e4924e7f088e5f5451561b44903de608b902093f453dcb057529072f28ae0254"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6030",
    "kind": "arxiv",
    "version": 1
  }
}