Pith Number

pith:VBIFB7HY

pith:2009:VBIFB7HYW5ABN3XTSIN2F6SRUA

not attested not anchored not stored refs pending

Numbers with integer expansion in the numeration system with negative base

D. Dombek, E. Pelantov\'a, P. Ambro\v{z}, Z. Mas\'akova

arxiv:0912.4597 v3 · 2009-12-23 · 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{VBIFB7HYW5ABN3XTSIN2F6SRUA}

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	2026-05-18T02:24:45.422350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a85050fcf8b74016eef3921ba2fa51a029a0d69cbdbba6d33ddcb7ba7a6822af

Aliases

arxiv: 0912.4597 · arxiv_version: 0912.4597v3 · doi: 10.48550/arxiv.0912.4597 · pith_short_12: VBIFB7HYW5AB · pith_short_16: VBIFB7HYW5ABN3XT · pith_short_8: VBIFB7HY

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/VBIFB7HYW5ABN3XTSIN2F6SRUA \
  | 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: a85050fcf8b74016eef3921ba2fa51a029a0d69cbdbba6d33ddcb7ba7a6822af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21c646dba0199680ff68f1373771599a4ef4287e3594298286a710ab0ce8f75f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-12-23T10:27:13Z",
    "title_canon_sha256": "7b3c957b9ec43c6e9fe7f322f75e30a91d0bf9b21a6cc5baaa03744b5e1bc564"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4597",
    "kind": "arxiv",
    "version": 3
  }
}