Pith Number

pith:E7RHPGQK

pith:2019:E7RHPGQK2XTPOTHKGNYAYQLPH7

not attested not anchored not stored refs pending

Quantales, persistence, and magnitude homology

Simon Cho

arxiv:1910.02905 v4 · 2019-10-07 · math.AT · math.CT · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E7RHPGQK2XTPOTHKGNYAYQLPH7}

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	2026-07-05T00:46:32.884400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27e2779a0ad5e6f74cea33700c416f3fff3227cea3cd3a6deb6a3b74dfd53f28

Aliases

arxiv: 1910.02905 · arxiv_version: 1910.02905v4 · doi: 10.48550/arxiv.1910.02905 · pith_short_12: E7RHPGQK2XTP · pith_short_16: E7RHPGQK2XTPOTHK · pith_short_8: E7RHPGQK

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/E7RHPGQK2XTPOTHKGNYAYQLPH7 \
  | 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: 27e2779a0ad5e6f74cea33700c416f3fff3227cea3cd3a6deb6a3b74dfd53f28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c8a46e4cadb4881512a97bef386fb69c944148c5030f0671603b0bda7eba050",
    "cross_cats_sorted": [
      "math.CT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-10-07T16:47:16Z",
    "title_canon_sha256": "864c7f5682f27c4bf4c2c88483b2a7cbc5b40bc8b48621ee44851dde38acaea1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.02905",
    "kind": "arxiv",
    "version": 4
  }
}