Pith Number

pith:OI32W6XI

pith:2003:OI32W6XIW3F6BWBDERYLXVZK4H

not attested not anchored not stored refs pending

The conjugacy problem for relatively hyperbolic groups

Inna Bumagin

arxiv:math/0308171 v2 · 2003-08-18 · 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{OI32W6XIW3F6BWBDERYLXVZK4H}

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	2026-05-18T02:41:32.625140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7237ab7ae8b6cbe0d8232470bbd72ae1c514c184392705730b98f994e83213e5

Aliases

arxiv: math/0308171 · arxiv_version: math/0308171v2 · doi: 10.48550/arxiv.math/0308171 · pith_short_12: OI32W6XIW3F6 · pith_short_16: OI32W6XIW3F6BWBD · pith_short_8: OI32W6XI

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/OI32W6XIW3F6BWBDERYLXVZK4H \
  | 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: 7237ab7ae8b6cbe0d8232470bbd72ae1c514c184392705730b98f994e83213e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23aea3233b182d3abbdc9b8c9a9411e3bf9ff83cca17d2d47098b1e2457ad027",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2003-08-18T20:15:36Z",
    "title_canon_sha256": "2c9052adc8e90f124ced8b5e5f946b7a157fbb09a37d440e29765712bfbce8ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0308171",
    "kind": "arxiv",
    "version": 2
  }
}