Pith Number

pith:HF4TUIGF

pith:2015:HF4TUIGFGTEEW6TV7477ON4MRC

not attested not anchored not stored refs pending

Rank Constrained Homotopies

Kaushika De Silva

arxiv:1511.06723 v1 · 2015-11-20 · math.OA · 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{HF4TUIGFGTEEW6TV7477ON4MRC}

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	2026-05-18T01:26:23.969817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39793a20c534c84b7a75ff3ff7378c888b5894086e42e6af7990c5ea1a1f8812

Aliases

arxiv: 1511.06723 · arxiv_version: 1511.06723v1 · doi: 10.48550/arxiv.1511.06723 · pith_short_12: HF4TUIGFGTEE · pith_short_16: HF4TUIGFGTEEW6TV · pith_short_8: HF4TUIGF

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/HF4TUIGFGTEEW6TV7477ON4MRC \
  | 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: 39793a20c534c84b7a75ff3ff7378c888b5894086e42e6af7990c5ea1a1f8812

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2f63975af5dccc2ef0e8ce04caf1f70af6d095a45dc779b47f8a310222d9df1",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-11-20T18:42:07Z",
    "title_canon_sha256": "deb828542f03f1b04b8e1d7fd863c1b187abf69daeba336a9345b7cb223212b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06723",
    "kind": "arxiv",
    "version": 1
  }
}