Pith Number

pith:WEQDEJJ7

pith:2018:WEQDEJJ77C5ADC26F75CJXAGC5

not attested not anchored not stored refs pending

An upper bound for topological complexity

Gregory Lupton, John Oprea, Mark Grant, Michael Farber

arxiv:1807.03994 v1 · 2018-07-11 · 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{WEQDEJJ77C5ADC26F75CJXAGC5}

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	2026-05-18T00:10:58.375541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b12032253ff8ba018b5e2ffa24dc061760e89caa4fda50a61a7a13f23d01fc68

Aliases

arxiv: 1807.03994 · arxiv_version: 1807.03994v1 · doi: 10.48550/arxiv.1807.03994 · pith_short_12: WEQDEJJ77C5A · pith_short_16: WEQDEJJ77C5ADC26 · pith_short_8: WEQDEJJ7

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/WEQDEJJ77C5ADC26F75CJXAGC5 \
  | 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: b12032253ff8ba018b5e2ffa24dc061760e89caa4fda50a61a7a13f23d01fc68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49f8b7bb626ca5b727f8734fd8fb51fbe1babb8d68d031a71175faf781b7edf5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-07-11T08:31:54Z",
    "title_canon_sha256": "c602f1205520a0705148a593facf4b9b8fe904854860214baf876f4a074bf02c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.03994",
    "kind": "arxiv",
    "version": 1
  }
}