Pith Number

pith:A2THFIAE

pith:2014:A2THFIAE5E4SW4XN7IPY6XQ5SC

not attested not anchored not stored refs pending

Homotopy types of spaces of submanifolds of ${\mathbb R}^n$

Federico Cantero Mor\'an

arxiv:1412.4938 v2 · 2014-12-16 · math.AT · 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{A2THFIAE5E4SW4XN7IPY6XQ5SC}

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	2026-05-18T01:22:48.684791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06a672a004e9392b72edfa1f8f5e1d9098e47f8c1716cbdcd44f114e2ba99556

Aliases

arxiv: 1412.4938 · arxiv_version: 1412.4938v2 · doi: 10.48550/arxiv.1412.4938 · pith_short_12: A2THFIAE5E4S · pith_short_16: A2THFIAE5E4SW4XN · pith_short_8: A2THFIAE

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/A2THFIAE5E4SW4XN7IPY6XQ5SC \
  | 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: 06a672a004e9392b72edfa1f8f5e1d9098e47f8c1716cbdcd44f114e2ba99556

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4f234ff2b340e719b09db2c491f885baa66d838278c26a1b421eebde5d77acc",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-12-16T10:17:22Z",
    "title_canon_sha256": "bc2834252aa9fe11d5cb219989d79505b595e15dde9abbf31f9dd326acc11a85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4938",
    "kind": "arxiv",
    "version": 2
  }
}