Pith Number

pith:WULHB7VM

pith:2015:WULHB7VMDVIXB4RZHE6VC6KT6O

not attested not anchored not stored refs pending

A Lie group structure on the group of real analytic diffeomorphisms of a compact real analytic manifold with corners

Jan Milan Eyni

arxiv:1512.01506 v2 · 2015-12-04 · math.GR · 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{WULHB7VMDVIXB4RZHE6VC6KT6O}

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	2026-05-18T01:24:32.513653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b51670feac1d5170f239393d517953f3a38dfac46349d9cfc2a019dd1308b8c7

Aliases

arxiv: 1512.01506 · arxiv_version: 1512.01506v2 · doi: 10.48550/arxiv.1512.01506 · pith_short_12: WULHB7VMDVIX · pith_short_16: WULHB7VMDVIXB4RZ · pith_short_8: WULHB7VM

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/WULHB7VMDVIXB4RZHE6VC6KT6O \
  | 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: b51670feac1d5170f239393d517953f3a38dfac46349d9cfc2a019dd1308b8c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7afb479a639a3a6375b043aee85992aea8e8ed660da98dab5faad3aece84b59e",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-12-04T18:37:14Z",
    "title_canon_sha256": "0ad506045837eaedee44a8bf7430444fc09ba70fd4876ed53da325b7091ad77c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01506",
    "kind": "arxiv",
    "version": 2
  }
}