Pith Number

pith:44EQDT52

pith:2011:44EQDT52MTQG2E5W6NY2Y7EW6L

not attested not anchored not stored refs pending

Volume bounds for shadow covering

Christina Chen, Daniel A. Klain, Tanya Khovanova

arxiv:1109.1619 v1 · 2011-09-08 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{44EQDT52MTQG2E5W6NY2Y7EW6L}

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	2026-05-18T03:03:21.519788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e70901cfba64e06d13b6f371ac7c96f2cb412d14bbc05f693b3eed93817f766c

Aliases

arxiv: 1109.1619 · arxiv_version: 1109.1619v1 · doi: 10.48550/arxiv.1109.1619 · pith_short_12: 44EQDT52MTQG · pith_short_16: 44EQDT52MTQG2E5W · pith_short_8: 44EQDT52

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/44EQDT52MTQG2E5W6NY2Y7EW6L \
  | 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: e70901cfba64e06d13b6f371ac7c96f2cb412d14bbc05f693b3eed93817f766c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "764cb562e09563e20ee0031760e8b26cd268108dfa3a4e9cf2bd136255cadea2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-09-08T03:15:13Z",
    "title_canon_sha256": "0ad8892b0186c9e58c4f07455efb2e15a2d046d7bced009e536d45d99080aa0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1619",
    "kind": "arxiv",
    "version": 1
  }
}