Pith Number

pith:4RYHZTXL

pith:2010:4RYHZTXLB7DGYZ4DZTQ67RKTRD

not attested not anchored not stored refs pending

Notes about extended real- and set-valued functions

Andreas H. Hamel, Carola Schrage

arxiv:1011.3179 v1 · 2010-11-14 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4RYHZTXLB7DGYZ4DZTQ67RKTRD}

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	2026-05-18T02:56:42.653553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4707cceeb0fc66c6783cce1efc55388e2c580d790b78acd41a49cf970f6aa00

Aliases

arxiv: 1011.3179 · arxiv_version: 1011.3179v1 · doi: 10.48550/arxiv.1011.3179 · pith_short_12: 4RYHZTXLB7DG · pith_short_16: 4RYHZTXLB7DGYZ4D · pith_short_8: 4RYHZTXL

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/4RYHZTXLB7DGYZ4DZTQ67RKTRD \
  | 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: e4707cceeb0fc66c6783cce1efc55388e2c580d790b78acd41a49cf970f6aa00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aafcd5c4bdb45d8308963017d869e38e8421961e9f35cbf04819bcb424be4b1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-11-14T03:23:54Z",
    "title_canon_sha256": "c5a42af134588fc720567087cb01e09de2375afa9f708291b3eda64f23bc4e2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3179",
    "kind": "arxiv",
    "version": 1
  }
}