Pith Number

pith:E56PVHD4

pith:2018:E56PVHD4MQJDDLYVVF5LCSHYWI

not attested not anchored not stored refs pending

Families torsion and Morse functions for covering spaces

Guangxiang Su

arxiv:1801.08824 v2 · 2018-01-26 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E56PVHD4MQJDDLYVVF5LCSHYWI}

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	2026-05-18T00:14:53.874269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

277cfa9c7c641231af15a97ab148f8b23c0dd98fa4207c53e368105141276d61

Aliases

arxiv: 1801.08824 · arxiv_version: 1801.08824v2 · doi: 10.48550/arxiv.1801.08824 · pith_short_12: E56PVHD4MQJD · pith_short_16: E56PVHD4MQJDDLYV · pith_short_8: E56PVHD4

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/E56PVHD4MQJDDLYVVF5LCSHYWI \
  | 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: 277cfa9c7c641231af15a97ab148f8b23c0dd98fa4207c53e368105141276d61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c14f43dbfd8ae2cd28e71d98ba0e4036234b8c94e182535d36078bb88ea73afb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-01-26T14:31:27Z",
    "title_canon_sha256": "e371f47a6fa106fc3b62547222ae89c9d6f84535f4433c7218e58f6f8c0f0fdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08824",
    "kind": "arxiv",
    "version": 2
  }
}