Pith Number

pith:5ZGH6JBC

pith:2018:5ZGH6JBCN2TWR5FQ72IZEZEZWI

not attested not anchored not stored refs pending

Accessible parts of the boundary for domains with lower content regular complements

Jonas Azzam

arxiv:1807.04534 v2 · 2018-07-12 · math.MG · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ZGH6JBCN2TWR5FQ72IZEZEZWI}

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	2026-05-17T23:53:42.404106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee4c7f24226ea768f4b0fe91926499b23ed8e58250ef0aa73adb59c9acd0f1da

Aliases

arxiv: 1807.04534 · arxiv_version: 1807.04534v2 · doi: 10.48550/arxiv.1807.04534 · pith_short_12: 5ZGH6JBCN2TW · pith_short_16: 5ZGH6JBCN2TWR5FQ · pith_short_8: 5ZGH6JBC

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/5ZGH6JBCN2TWR5FQ72IZEZEZWI \
  | 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: ee4c7f24226ea768f4b0fe91926499b23ed8e58250ef0aa73adb59c9acd0f1da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fa376e48dfbd701934cd8e6b9320057bff16762efc1eb1a0f788706416fbd28",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-07-12T10:53:48Z",
    "title_canon_sha256": "f5c4619b7e9d63578625d08c55c6f4e815523e5bddbeaa93d3f990d078067b58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.04534",
    "kind": "arxiv",
    "version": 2
  }
}