Pith Number

pith:RPML2E4A

pith:2022:RPML2E4AVWMXP6ZCAY3OWCLAC7

not attested not anchored not stored refs pending

Girth Alternative for HNN Extensions

Azer Akhmedov, Pratyush Mishra

arxiv:2211.13326 v3 · 2022-11-23 · 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{RPML2E4AVWMXP6ZCAY3OWCLAC7}

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	2026-07-05T07:11:33.285063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bd8bd1380ad9977fb220636eb096017e2d0f1eb048f563a7677450d8df551e8

Aliases

arxiv: 2211.13326 · arxiv_version: 2211.13326v3 · doi: 10.48550/arxiv.2211.13326 · pith_short_12: RPML2E4AVWMX · pith_short_16: RPML2E4AVWMXP6ZC · pith_short_8: RPML2E4A

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/RPML2E4AVWMXP6ZCAY3OWCLAC7 \
  | 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: 8bd8bd1380ad9977fb220636eb096017e2d0f1eb048f563a7677450d8df551e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a03edec112738ed83756ecac5dc621a2a5189645266d68e5a2e2b7e78ebbf8e",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2022-11-23T22:06:16Z",
    "title_canon_sha256": "0646128aaa9ec42a5deaba85d80ee6d440c06f32b43aa7566c9154ab4038985a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.13326",
    "kind": "arxiv",
    "version": 3
  }
}