Pith Number

pith:5EELCDC3

pith:2016:5EELCDC3GYLO6DURGWD2HWML3B

not attested not anchored not stored refs pending

Character varieties and actions on products of trees

David Fisher, Matthew Stover, Michael Larsen, Ralf Spatzier

arxiv:1605.05163 v1 · 2016-05-17 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5EELCDC3GYLO6DURGWD2HWML3B}

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	2026-05-18T01:14:37.200352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e908b10c5b3616ef0e913587a3d98bd84d52cf6e24645ba50f040393c16687a8

Aliases

arxiv: 1605.05163 · arxiv_version: 1605.05163v1 · doi: 10.48550/arxiv.1605.05163 · pith_short_12: 5EELCDC3GYLO · pith_short_16: 5EELCDC3GYLO6DUR · pith_short_8: 5EELCDC3

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/5EELCDC3GYLO6DURGWD2HWML3B \
  | 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: e908b10c5b3616ef0e913587a3d98bd84d52cf6e24645ba50f040393c16687a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "387fba4531ad177b093dc7d9804c0078db77be5d40cf07bb408e154bfceec3f4",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-05-17T13:44:14Z",
    "title_canon_sha256": "a8adf236cb4e54ca96b234933817ea7ed844c62b382b20ae34424857e37d463f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05163",
    "kind": "arxiv",
    "version": 1
  }
}