Pith Number

pith:MC4R6UD4

pith:2013:MC4R6UD4JOW3IBHANUVKC7PU4B

not attested not anchored not stored refs pending

Stable immersions in orbifolds

Alden Walker

arxiv:1312.2862 v3 · 2013-12-10 · 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{MC4R6UD4JOW3IBHANUVKC7PU4B}

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	2026-05-18T01:31:46.784776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60b91f507c4badb404e06d2aa17df4e05483a369bafe0f0d9278ab725e72708b

Aliases

arxiv: 1312.2862 · arxiv_version: 1312.2862v3 · doi: 10.48550/arxiv.1312.2862 · pith_short_12: MC4R6UD4JOW3 · pith_short_16: MC4R6UD4JOW3IBHA · pith_short_8: MC4R6UD4

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/MC4R6UD4JOW3IBHANUVKC7PU4B \
  | 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: 60b91f507c4badb404e06d2aa17df4e05483a369bafe0f0d9278ab725e72708b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a6b33e70abde7a1d5577f9945349c3fe96550b6c435f1455e04c72f0eb5cf18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-12-10T16:36:50Z",
    "title_canon_sha256": "89457a79d09e34303dab872cffa7b73d91ad3ed164f2fd15fa9ccc754d30a37f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2862",
    "kind": "arxiv",
    "version": 3
  }
}