Pith Number

pith:TTLOBFQR

pith:2015:TTLOBFQRCIOKBOKD564DFMIGJR

not attested not anchored not stored refs pending

Virtual Residue and an integral formalism

Huai-Liang Chang, Mu-Lin Li

arxiv:1508.02769 v3 · 2015-08-11 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TTLOBFQRCIOKBOKD564DFMIGJR}

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	2026-05-18T00:26:47.215566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cd6e09611121ca0b943efb832b1064c4a250a91404b4c6ecd84152d8261bb6d

Aliases

arxiv: 1508.02769 · arxiv_version: 1508.02769v3 · doi: 10.48550/arxiv.1508.02769 · pith_short_12: TTLOBFQRCIOK · pith_short_16: TTLOBFQRCIOKBOKD · pith_short_8: TTLOBFQR

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/TTLOBFQRCIOKBOKD564DFMIGJR \
  | 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: 9cd6e09611121ca0b943efb832b1064c4a250a91404b4c6ecd84152d8261bb6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c26cdcb8d4c15e619021a8c98178aa0f9ece81b718254f59974c904347e6883",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-08-11T23:02:22Z",
    "title_canon_sha256": "f5c5cbf8b939fdf7c43aec870ae1a2ceb767262c5c14045241429cd9280591c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02769",
    "kind": "arxiv",
    "version": 3
  }
}