Pith Number

pith:PIZXC3NT

pith:2019:PIZXC3NTZLQSPTUE7SUFLNLIBB

not attested not anchored not stored refs pending

Preordered groups and valued fields

Guillaume Rond, Julie Decaup

arxiv:1912.03928 v1 · 2019-12-09 · math.GR · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PIZXC3NTZLQSPTUE7SUFLNLIBB}

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

Groups with classifiable actions on the line

Receipt and verification

First computed	2026-07-05T00:24:50.245226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a33716db3cae127ce84fca855b5680840f60653878b00b85b0976901f4edb6d

Aliases

arxiv: 1912.03928 · arxiv_version: 1912.03928v1 · doi: 10.48550/arxiv.1912.03928 · pith_short_12: PIZXC3NTZLQS · pith_short_16: PIZXC3NTZLQSPTUE · pith_short_8: PIZXC3NT

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/PIZXC3NTZLQSPTUE7SUFLNLIBB \
  | 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: 7a33716db3cae127ce84fca855b5680840f60653878b00b85b0976901f4edb6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62532dc1cefc641f7b666823601af2d302ee54ae907f4a2aa6950000756383a7",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-12-09T09:52:19Z",
    "title_canon_sha256": "bba6b78d7c50e01c68a04d9c24f25ee692f1ad0e653bbd6812c8ab3c51b2ec17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.03928",
    "kind": "arxiv",
    "version": 1
  }
}