Pith Number

pith:MXAPBMNU

pith:2013:MXAPBMNUVAI2A2N4YL2FI2Q467

not attested not anchored not stored refs pending

Compact embedding in the space of piecewise H1 functions

Sheng Zhang

arxiv:1302.7079 v1 · 2013-02-28 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MXAPBMNUVAI2A2N4YL2FI2Q467}

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	2026-05-18T03:32:17.555688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65c0f0b1b4a811a069bcc2f4546a1cf7e5b7ab903deb889dcbfcb1ae1ae25779

Aliases

arxiv: 1302.7079 · arxiv_version: 1302.7079v1 · doi: 10.48550/arxiv.1302.7079 · pith_short_12: MXAPBMNUVAI2 · pith_short_16: MXAPBMNUVAI2A2N4 · pith_short_8: MXAPBMNU

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/MXAPBMNUVAI2A2N4YL2FI2Q467 \
  | 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: 65c0f0b1b4a811a069bcc2f4546a1cf7e5b7ab903deb889dcbfcb1ae1ae25779

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec13122d664928fcc25ac9b1ffd2e9cd337f724812f96e90e684e45b1fac5d26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-02-28T04:35:57Z",
    "title_canon_sha256": "455cce7488ad9b81af7ab1d9b50c27e210e87f85d332e5447eda496d01a08417"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.7079",
    "kind": "arxiv",
    "version": 1
  }
}