Pith Number

pith:QYMGAQHH

pith:2014:QYMGAQHH2NTFI5ZMSYJWDQFOUF

not attested not anchored not stored refs pending

On the Inequalities of Projected Volumes and the Constructible Region

Liwei Zeng, Zihan Tan

arxiv:1410.8663 v3 · 2014-10-31 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QYMGAQHH2NTFI5ZMSYJWDQFOUF}

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	2026-05-17T23:58:50.691873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86186040e7d36654772c961361c0aea14103e78867402870152989c455c4c007

Aliases

arxiv: 1410.8663 · arxiv_version: 1410.8663v3 · doi: 10.48550/arxiv.1410.8663 · pith_short_12: QYMGAQHH2NTF · pith_short_16: QYMGAQHH2NTFI5ZM · pith_short_8: QYMGAQHH

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/QYMGAQHH2NTFI5ZMSYJWDQFOUF \
  | 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: 86186040e7d36654772c961361c0aea14103e78867402870152989c455c4c007

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ad0ba368b6bc289b16c306f2b5a6b0423fb63a0d776a7c40d986ce65fedad35",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2014-10-31T08:11:05Z",
    "title_canon_sha256": "ba8fff24d28d93dc1fc9aaa7787dd10d83247401e58b3c54e5e654f99d58ce23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.8663",
    "kind": "arxiv",
    "version": 3
  }
}