Pith Number

pith:XPRD33EW

pith:2012:XPRD33EWM6745T6ME7VLFP32ZK

not attested not anchored not stored refs pending

Virtual Amalgamation of Relatively Quasiconvex Subgroups

Alessandro Sisto, Eduardo Martinez-Pedroza

arxiv:1203.5839 v1 · 2012-03-26 · math.GT · 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{XPRD33EWM6745T6ME7VLFP32ZK}

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	2026-05-18T02:41:43.275899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbe23dec9667bfcecfcc27eab2bf7acaab715cb7ef8669546726f6f9da3c1fda

Aliases

arxiv: 1203.5839 · arxiv_version: 1203.5839v1 · doi: 10.48550/arxiv.1203.5839 · pith_short_12: XPRD33EWM674 · pith_short_16: XPRD33EWM6745T6M · pith_short_8: XPRD33EW

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/XPRD33EWM6745T6ME7VLFP32ZK \
  | 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: bbe23dec9667bfcecfcc27eab2bf7acaab715cb7ef8669546726f6f9da3c1fda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa88cf3c03a0cead65b07d599040743dd933c61a50fbca4ba51e726932ac9d87",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-03-26T23:13:11Z",
    "title_canon_sha256": "dc1c310cb58be10e59ba1250112a7914707281c4c2654011cd0982c46893a60c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5839",
    "kind": "arxiv",
    "version": 1
  }
}