Pith Number

pith:64RJMUJN

pith:2018:64RJMUJNGB2LJNGCQKC6S7AVBD

not attested not anchored not stored refs pending

Surjectivity of the etale excision map for homotopy invariant framed presheaves

Andrei Druzhinin, Ivan Panin

arxiv:1808.07765 v1 · 2018-08-22 · 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{64RJMUJNGB2LJNGCQKC6S7AVBD}

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	2026-05-18T00:07:24.348347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f72296512d3074b4b4c28285e97c1508d8394a3c85d050194660b19fd840554c

Aliases

arxiv: 1808.07765 · arxiv_version: 1808.07765v1 · doi: 10.48550/arxiv.1808.07765 · pith_short_12: 64RJMUJNGB2L · pith_short_16: 64RJMUJNGB2LJNGC · pith_short_8: 64RJMUJN

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/64RJMUJNGB2LJNGCQKC6S7AVBD \
  | 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: f72296512d3074b4b4c28285e97c1508d8394a3c85d050194660b19fd840554c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a91549a3a71550d5d576fcf7bc51190b2ed3505e673b6488404f88652b370a2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2018-08-22T13:15:58Z",
    "title_canon_sha256": "19dbd65dd6d24db883aa61bf74109c21dda8b981050a6a9054254271b09c12a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07765",
    "kind": "arxiv",
    "version": 1
  }
}