Pith Number

pith:GHGULKX7

pith:2020:GHGULKX72RIKAIJNVYK5OLE5VV

not attested not anchored not stored refs pending

An Algebra of Resource Sharing Machines

Sophie Libkind

arxiv:2007.14442 v1 · 2020-07-28 · math.CT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GHGULKX72RIKAIJNVYK5OLE5VV}

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	2026-07-05T01:23:15.369678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31cd45aaffd450a0212dae15d72c9dad5221a3831881d48acf62a4d21a29598a

Aliases

arxiv: 2007.14442 · arxiv_version: 2007.14442v1 · doi: 10.48550/arxiv.2007.14442 · pith_short_12: GHGULKX72RIK · pith_short_16: GHGULKX72RIKAIJN · pith_short_8: GHGULKX7

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/GHGULKX72RIKAIJNVYK5OLE5VV \
  | 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: 31cd45aaffd450a0212dae15d72c9dad5221a3831881d48acf62a4d21a29598a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a27e875866ba62816e8b2eae52c2c6f79fc5066b8f2f36a627e582c83bef0e7",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2020-07-28T19:20:36Z",
    "title_canon_sha256": "b84d2cd857f125426f99f132ab42b2aedc63979defcb78742381be05256cd9e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.14442",
    "kind": "arxiv",
    "version": 1
  }
}