Pith Number

pith:RB6VNLBN

pith:2015:RB6VNLBN67HA2I543DXT5ZQLLD

not attested not anchored not stored refs pending

Witt sheaves and the $\eta$-inverted sphere spectrum

Alexey Ananyevskiy, Ivan Panin, Marc Levine

arxiv:1504.04860 v1 · 2015-04-19 · math.AT · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RB6VNLBN67HA2I543DXT5ZQLLD}

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	2026-05-18T00:45:08.735009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

887d56ac2df7ce0d23bcd8ef3ee60b58ef8dde79eea5b1b099ff50e75b60845c

Aliases

arxiv: 1504.04860 · arxiv_version: 1504.04860v1 · doi: 10.48550/arxiv.1504.04860 · pith_short_12: RB6VNLBN67HA · pith_short_16: RB6VNLBN67HA2I54 · pith_short_8: RB6VNLBN

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/RB6VNLBN67HA2I543DXT5ZQLLD \
  | 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: 887d56ac2df7ce0d23bcd8ef3ee60b58ef8dde79eea5b1b099ff50e75b60845c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bba8c9bb8e2314928b3ce8c5551f180124fe8e0e0d3fda1ef27268b60d0de627",
    "cross_cats_sorted": [
      "math.AG",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-04-19T17:09:25Z",
    "title_canon_sha256": "9a570f7c0d8f8bfc4cefedce529c74c649b56120c5503511391f6022101121be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04860",
    "kind": "arxiv",
    "version": 1
  }
}