Pith Number

pith:CUFZA2AA

pith:2017:CUFZA2AAGMXJRKZVC2YQDHLZTF

not attested not anchored not stored refs pending

Separation axioms as lifting properties

Misha Gavrilovich

arxiv:1706.09164 v1 · 2017-06-28 · math.GN · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CUFZA2AAGMXJRKZVC2YQDHLZTF}

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	2026-05-18T00:41:19.620739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

150b906800332e98ab3516b1019d79997b92cd58ffa9a97fd7805f8ceaf340e3

Aliases

arxiv: 1706.09164 · arxiv_version: 1706.09164v1 · doi: 10.48550/arxiv.1706.09164 · pith_short_12: CUFZA2AAGMXJ · pith_short_16: CUFZA2AAGMXJRKZV · pith_short_8: CUFZA2AA

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/CUFZA2AAGMXJRKZVC2YQDHLZTF \
  | 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: 150b906800332e98ab3516b1019d79997b92cd58ffa9a97fd7805f8ceaf340e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ce3f34add733ad86b526299b2ac4acd563586c200799db88d51d283afc0dbb3",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2017-06-28T08:19:19Z",
    "title_canon_sha256": "9bd2b8ef2df20cc612b5d0f9642c6e1c01d7a0967a909b4471b829b7de12f3bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09164",
    "kind": "arxiv",
    "version": 1
  }
}