Pith Number

pith:57HZAN5K

pith:2016:57HZAN5KXU5WCDFJBKTNBBENYJ

not attested not anchored not stored refs pending

Complex of injective words revisited

Wee Liang Gan

arxiv:1608.04496 v1 · 2016-08-16 · math.KT · 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{57HZAN5KXU5WCDFJBKTNBBENYJ}

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	2026-05-18T01:08:37.068662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efcf9037aabd3b610ca90aa6d0848dc24beb71ccc27df59cb662d35fe0ae651e

Aliases

arxiv: 1608.04496 · arxiv_version: 1608.04496v1 · doi: 10.48550/arxiv.1608.04496 · pith_short_12: 57HZAN5KXU5W · pith_short_16: 57HZAN5KXU5WCDFJ · pith_short_8: 57HZAN5K

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/57HZAN5KXU5WCDFJBKTNBBENYJ \
  | 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: efcf9037aabd3b610ca90aa6d0848dc24beb71ccc27df59cb662d35fe0ae651e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "162e7153240ad074c6d279075f7a1ed3c8d77815614a1264b95beb1d79395361",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2016-08-16T06:43:00Z",
    "title_canon_sha256": "0e7530b2364d6ef52741fb2d8d7d251bb64e9609391f7320ecce4a3c86ed5b3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04496",
    "kind": "arxiv",
    "version": 1
  }
}