Pith Number

pith:3EQS6ILR

pith:2001:3EQS6ILRO3UHK3BDMSQTXLF35C

not attested not anchored not stored refs pending

A note on a theorem of Bowditch

Panos Papasoglu

arxiv:math/0107115 v1 · 2001-07-16 · 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{3EQS6ILRO3UHK3BDMSQTXLF35C}

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	2026-05-18T01:05:37.639639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9212f217176e8756c2364a13bacbbe887122d37e8c6488967cfac7d58c8d062

Aliases

arxiv: math/0107115 · arxiv_version: math/0107115v1 · doi: 10.48550/arxiv.math/0107115 · pith_short_12: 3EQS6ILRO3UH · pith_short_16: 3EQS6ILRO3UHK3BD · pith_short_8: 3EQS6ILR

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/3EQS6ILRO3UHK3BDMSQTXLF35C \
  | 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: d9212f217176e8756c2364a13bacbbe887122d37e8c6488967cfac7d58c8d062

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c3cdbadb4a7bd51ddaea0be46e582d6207d6dd9714146cd2b94b659ed832d8f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2001-07-16T14:26:23Z",
    "title_canon_sha256": "faaa94ca49f9fac63a13825eda89c1c60493af346ff8347a4d7c625a2b44830f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0107115",
    "kind": "arxiv",
    "version": 1
  }
}