Pith Number

pith:FRVH47BG

pith:2015:FRVH47BGE3GMIDG3QUY2ZBN6IQ

not attested not anchored not stored refs pending

Index realization for automorphisms of free groups

Martin Lustig, Thierry Coulbois

arxiv:1506.04536 v3 · 2015-06-15 · 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{FRVH47BGE3GMIDG3QUY2ZBN6IQ}

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	2026-05-18T00:48:33.190886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c6a7e7c2626ccc40cdb8531ac85be442bdb28cdaa20a1ac3e30b42291e6805d

Aliases

arxiv: 1506.04536 · arxiv_version: 1506.04536v3 · doi: 10.48550/arxiv.1506.04536 · pith_short_12: FRVH47BGE3GM · pith_short_16: FRVH47BGE3GMIDG3 · pith_short_8: FRVH47BG

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/FRVH47BGE3GMIDG3QUY2ZBN6IQ \
  | 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: 2c6a7e7c2626ccc40cdb8531ac85be442bdb28cdaa20a1ac3e30b42291e6805d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0235a340870f7c77139463d58d6ee7c6b48de6236bd0fbec76a72a8cbe99ee8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-06-15T09:55:44Z",
    "title_canon_sha256": "2202ac71db31731385b25d2fd6410a0fe47a98193bb944105b362e283f50a70c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04536",
    "kind": "arxiv",
    "version": 3
  }
}