Pith Number

pith:X52MDYSS

pith:2013:X52MDYSSI5DLXBOPUAAEIMQFVJ

not attested not anchored not stored refs pending

Vanishing of Tor, and why we care about it

Olgur Celikbas, Roger Wiegand

arxiv:1302.2170 v2 · 2013-02-08 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X52MDYSSI5DLXBOPUAAEIMQFVJ}

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	2026-05-18T00:07:51.431304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf74c1e2524746bb85cfa000443205aa7ae5c7c8bee998de248e8cc6e7525e91

Aliases

arxiv: 1302.2170 · arxiv_version: 1302.2170v2 · doi: 10.48550/arxiv.1302.2170 · pith_short_12: X52MDYSSI5DL · pith_short_16: X52MDYSSI5DLXBOP · pith_short_8: X52MDYSS

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/X52MDYSSI5DLXBOPUAAEIMQFVJ \
  | 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: bf74c1e2524746bb85cfa000443205aa7ae5c7c8bee998de248e8cc6e7525e91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fb85ec46474e2c47fa1d3cf929731f2801cb3652c98eec38804f9d66f7c64ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-02-08T22:45:52Z",
    "title_canon_sha256": "f0a87a5617dfaab5bb9b6f46070a484d012d87f98633e50b7528ec4d603e77a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2170",
    "kind": "arxiv",
    "version": 2
  }
}