Pith Number

pith:LHTHT3UM

pith:2018:LHTHT3UM4SHHB6ULCO4MADBACB

not attested not anchored not stored refs pending

Graph magnitude homology via algebraic Morse theory

Yuzhou Gu

arxiv:1809.07240 v1 · 2018-09-19 · math.CO · 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{LHTHT3UM4SHHB6ULCO4MADBACB}

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.

Cited by

1 paper in Pith

Spectral invariants of finite metric spaces

Receipt and verification

First computed	2026-05-18T00:05:20.321655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59e679ee8ce48e70fa8b13b8c00c20107146f30e781168a4eed76256aa2c64e6

Aliases

arxiv: 1809.07240 · arxiv_version: 1809.07240v1 · doi: 10.48550/arxiv.1809.07240 · pith_short_12: LHTHT3UM4SHH · pith_short_16: LHTHT3UM4SHHB6UL · pith_short_8: LHTHT3UM

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/LHTHT3UM4SHHB6ULCO4MADBACB \
  | 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: 59e679ee8ce48e70fa8b13b8c00c20107146f30e781168a4eed76256aa2c64e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6eb6452d7b5e3d3858c6b3a37de92375d2be82fcd14b13fc7964d9cdac06a733",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-19T15:23:47Z",
    "title_canon_sha256": "d77e9979050401e423d47a7d6899e5feb8b82c76303a22f9db047114352c13a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.07240",
    "kind": "arxiv",
    "version": 1
  }
}