Pith Number

pith:MBT5HEFS

pith:2010:MBT5HEFSG6SHJF6QGWAI3TNJHF

not attested not anchored not stored refs pending

Groups not presentable by products

C. Loeh, D. Kotschick

arxiv:1003.3853 v2 · 2010-03-19 · 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{MBT5HEFSG6SHJF6QGWAI3TNJHF}

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	2026-05-18T03:34:14.389244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6067d390b237a47497d035808dcda939504d5dac4ed06b5c5e4b89c1007de7f3

Aliases

arxiv: 1003.3853 · arxiv_version: 1003.3853v2 · doi: 10.48550/arxiv.1003.3853 · pith_short_12: MBT5HEFSG6SH · pith_short_16: MBT5HEFSG6SHJF6Q · pith_short_8: MBT5HEFS

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/MBT5HEFSG6SHJF6QGWAI3TNJHF \
  | 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: 6067d390b237a47497d035808dcda939504d5dac4ed06b5c5e4b89c1007de7f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24e09e4789ba6c5223ad1a99c84cc3858458c45febfb59c75ce5f2cb9f6299f8",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-03-19T18:05:01Z",
    "title_canon_sha256": "5b879a5bc7ae7c35f2995ef27268791873f2c85cb949d8549de245bda3eec0a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3853",
    "kind": "arxiv",
    "version": 2
  }
}