Pith Number

pith:I2BZN63B

pith:2015:I2BZN63B55GXL5PNNTLSZF2UDP

not attested not anchored not stored refs pending

Strong approximation and a conjecture of Harpaz and Wittenberg

Damaris Schindler, Tim Browning

arxiv:1509.07744 v3 · 2015-09-25 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I2BZN63B55GXL5PNNTLSZF2UDP}

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	2026-05-18T00:34:00.269770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

468396fb61ef4d75f5ed6cd72c97541bf421d80bff2468ba14485d7c5400fec1

Aliases

arxiv: 1509.07744 · arxiv_version: 1509.07744v3 · doi: 10.48550/arxiv.1509.07744 · pith_short_12: I2BZN63B55GX · pith_short_16: I2BZN63B55GXL5PN · pith_short_8: I2BZN63B

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/I2BZN63B55GXL5PNNTLSZF2UDP \
  | 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: 468396fb61ef4d75f5ed6cd72c97541bf421d80bff2468ba14485d7c5400fec1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adc184ae1aa95a9308ed7cf048cacdcb3457e2926af8472b8f30ed290ce5133a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-25T14:58:02Z",
    "title_canon_sha256": "66091bf0d8f95cb5e12c58ae35ebddc07edaeaea10d962096b0f9420889c64e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07744",
    "kind": "arxiv",
    "version": 3
  }
}