Pith Number

pith:ECDY2WXQ

pith:2013:ECDY2WXQ6FBFCESMGUCTXMNVBD

not attested not anchored not stored refs pending

On the possible volume of $\mu$-$(v,k,t)$ trades

Nasrin Soltankhah, Saeedeh Rashidi

arxiv:1310.7759 v1 · 2013-10-29 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ECDY2WXQ6FBFCESMGUCTXMNVBD}

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	2026-05-18T03:08:35.369330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20878d5af0f14251124c35053bb1b508f8143866ac8b39bde26101f79bafaceb

Aliases

arxiv: 1310.7759 · arxiv_version: 1310.7759v1 · doi: 10.48550/arxiv.1310.7759 · pith_short_12: ECDY2WXQ6FBF · pith_short_16: ECDY2WXQ6FBFCESM · pith_short_8: ECDY2WXQ

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/ECDY2WXQ6FBFCESMGUCTXMNVBD \
  | 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: 20878d5af0f14251124c35053bb1b508f8143866ac8b39bde26101f79bafaceb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d16dee30d18cab2c0515b8fe4778724c5f9450b69eb2ce72b87b28325fd79d2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-29T11:18:01Z",
    "title_canon_sha256": "eba96b07da5fa6fa949ae6d351f69bd236f707ea8cbb69fb8e21f6005fe0ab1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7759",
    "kind": "arxiv",
    "version": 1
  }
}