Pith Number

pith:GHCRMU7G

pith:2017:GHCRMU7GVB6YOWTHUC4RXQI4RH

not attested not anchored not stored refs pending

Improved Upper Bound on the Network Function Computing Capacity

Congduan Li, Raymond W. Yeung, Shenghao Yang, Xuan Guang

arxiv:1710.02252 v1 · 2017-10-06 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GHCRMU7GVB6YOWTHUC4RXQI4RH}

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	2026-05-18T00:33:34.011041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31c51653e6a87d875a67a0b91bc11c89da255d6046c602c999c4fbb23dd53093

Aliases

arxiv: 1710.02252 · arxiv_version: 1710.02252v1 · doi: 10.48550/arxiv.1710.02252 · pith_short_12: GHCRMU7GVB6Y · pith_short_16: GHCRMU7GVB6YOWTH · pith_short_8: GHCRMU7G

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/GHCRMU7GVB6YOWTHUC4RXQI4RH \
  | 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: 31c51653e6a87d875a67a0b91bc11c89da255d6046c602c999c4fbb23dd53093

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99039ae5a2e73a4f665fcd9a5f9d0d1604b4c0ecc9be1aaba79951dcffab98e0",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-10-06T01:31:19Z",
    "title_canon_sha256": "4ad6b5644ad47f45c99728c24727dba7234738d15cf9deec752f4ba3290de77d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02252",
    "kind": "arxiv",
    "version": 1
  }
}