Pith Number

pith:UQTDXMY4

pith:2015:UQTDXMY4PBK4TV7W4THMEFEXVA

not attested not anchored not stored refs pending

Assignments for topological group actions

Augustin-Liviu Mare, Oliver Goertsches

arxiv:1512.06579 v3 · 2015-12-21 · math.AT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UQTDXMY4PBK4TV7W4THMEFEXVA}

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	2026-05-18T00:20:59.948927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4263bb31c7855c9d7f6e4cec21497a83498674e8e2873d09d539a74e770620f

Aliases

arxiv: 1512.06579 · arxiv_version: 1512.06579v3 · doi: 10.48550/arxiv.1512.06579 · pith_short_12: UQTDXMY4PBK4 · pith_short_16: UQTDXMY4PBK4TV7W · pith_short_8: UQTDXMY4

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/UQTDXMY4PBK4TV7W4THMEFEXVA \
  | 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: a4263bb31c7855c9d7f6e4cec21497a83498674e8e2873d09d539a74e770620f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5c8382ae181b15f0f0982e4d2f7abf60e8c645975c78ce9b8855e99d9578f89",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-12-21T11:03:01Z",
    "title_canon_sha256": "784aa8ede9b551bea4c0b0ac954434a655c62eb1d6ac19815a479f7c133f2cdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06579",
    "kind": "arxiv",
    "version": 3
  }
}