Pith Number

pith:XUUMNAAG

pith:2016:XUUMNAAGIZWGJQ3FBLAFLELUN2

not attested not anchored not stored refs pending

Group actions and scattering problems in Teichm\"uller theory

Fran\c{c}ois Fillastre, Graham Smith

arxiv:1605.04563 v1 · 2016-05-15 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XUUMNAAGIZWGJQ3FBLAFLELUN2}

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	2026-05-18T01:14:46.842525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd28c68006466c64c3650ac05591746ead3c89ceec7c9d68018c3a4bc96b3a93

Aliases

arxiv: 1605.04563 · arxiv_version: 1605.04563v1 · doi: 10.48550/arxiv.1605.04563 · pith_short_12: XUUMNAAGIZWG · pith_short_16: XUUMNAAGIZWGJQ3F · pith_short_8: XUUMNAAG

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/XUUMNAAGIZWGJQ3FBLAFLELUN2 \
  | 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: bd28c68006466c64c3650ac05591746ead3c89ceec7c9d68018c3a4bc96b3a93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a62d673d0ced17fd0feb87eab317f551f83a03b8709b959195bc73777cd1f32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-05-15T15:13:34Z",
    "title_canon_sha256": "020268ebd4311bd1ed6826d027022d3b4e040068506f1139cd7709eb91ea0115"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04563",
    "kind": "arxiv",
    "version": 1
  }
}