Pith Number

pith:2OVFNHUP

pith:2013:2OVFNHUP2B2KVIDJAWRD7H2GHB

not attested not anchored not stored refs pending

Lifting Group Actions, Equivariant Towers and Subgroups of Non-positively Curved Groups

Eduardo Martinez-Pedroza, Richard Gaelan Hanlon

arxiv:1307.2640 v4 · 2013-07-10 · math.GR · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2OVFNHUP2B2KVIDJAWRD7H2GHB}

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	2026-05-18T02:32:54.473130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3aa569e8fd074aaa06905a23f9f46386ae7885d7b132ff0c5cc6cd58e6d3366

Aliases

arxiv: 1307.2640 · arxiv_version: 1307.2640v4 · doi: 10.48550/arxiv.1307.2640 · pith_short_12: 2OVFNHUP2B2K · pith_short_16: 2OVFNHUP2B2KVIDJ · pith_short_8: 2OVFNHUP

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/2OVFNHUP2B2KVIDJAWRD7H2GHB \
  | 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: d3aa569e8fd074aaa06905a23f9f46386ae7885d7b132ff0c5cc6cd58e6d3366

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1d5b2f60b77314f8225194d0d50f95d31c9109784d321d24f9ac70c1d930436",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-07-10T01:00:08Z",
    "title_canon_sha256": "8a766fec63fdcf2de3424a40feb928bff05202b24639074ce427f7e711953f1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2640",
    "kind": "arxiv",
    "version": 4
  }
}