Pith Number

pith:I3E5OXDM

pith:2021:I3E5OXDMFPLSCCNW6UQQAVZCNH

not attested not anchored not stored refs pending

The zero-rate threshold for adversarial bit-deletions is less than 1/2

Ray Li, Venkatesan Guruswami, Xiaoyu He

arxiv:2106.05250 v2 · 2021-06-09 · cs.IT · cs.DM · math.CO · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I3E5OXDMFPLSCCNW6UQQAVZCNH}

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	2026-07-05T05:16:30.942220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46c9d75c6c2bd72109b6f52100572269f8563f209f56251137c71216bcc80775

Aliases

arxiv: 2106.05250 · arxiv_version: 2106.05250v2 · doi: 10.48550/arxiv.2106.05250 · pith_short_12: I3E5OXDMFPLS · pith_short_16: I3E5OXDMFPLSCCNW · pith_short_8: I3E5OXDM

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/I3E5OXDMFPLSCCNW6UQQAVZCNH \
  | 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: 46c9d75c6c2bd72109b6f52100572269f8563f209f56251137c71216bcc80775

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "350db2b65592222a32226dd204198e14f3b96b0526c2327ed29d599abc37fb6d",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2021-06-09T17:45:34Z",
    "title_canon_sha256": "bd8cb95fb577991787e0c3ca0d21e4c2778f7dbfa33b65b53da03b3efe0b068e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.05250",
    "kind": "arxiv",
    "version": 2
  }
}