Pith Number

pith:T3SYSLUX

pith:2021:T3SYSLUXTK3Q5Z547ARKWXITTW

not attested not anchored not stored refs pending

An extension theory for partial groups

Alex Gonzalez, Carles Broto

arxiv:2105.03457 v1 · 2021-05-07 · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T3SYSLUXTK3Q5Z547ARKWXITTW}

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.

Cited by

1 paper in Pith

On partial groups of small order

Receipt and verification

First computed	2026-07-05T02:38:35.205355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ee5892e979ab70ee7bcf822ab5d139d868ce2d847bac21ae56299f07c0b8516

Aliases

arxiv: 2105.03457 · arxiv_version: 2105.03457v1 · doi: 10.48550/arxiv.2105.03457 · pith_short_12: T3SYSLUXTK3Q · pith_short_16: T3SYSLUXTK3Q5Z54 · pith_short_8: T3SYSLUX

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/T3SYSLUXTK3Q5Z547ARKWXITTW \
  | 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: 9ee5892e979ab70ee7bcf822ab5d139d868ce2d847bac21ae56299f07c0b8516

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bde66816a71a2fde26ec760cb0f17985c01c213eb574695aff6e69bebdde963",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2021-05-07T18:14:06Z",
    "title_canon_sha256": "508c1ac5670f5cdd8de409c90d5cd720608cc4e5bf2440c5a2ef33d5f7d37da1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.03457",
    "kind": "arxiv",
    "version": 1
  }
}