Pith Number

pith:SL4GFO6Q

pith:2017:SL4GFO6Q2KPYTKWL24ZPIDREC7

not attested not anchored not stored refs pending

Tropicalization of Positive Grassmannians

Chris Fraser, Ian Le

arxiv:1710.05014 v1 · 2017-10-13 · 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{SL4GFO6Q2KPYTKWL24ZPIDREC7}

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	2026-05-18T00:32:56.011021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92f862bbd0d29f89aacbd732f40e2417f2cdf8e978e026a09dc85aa852ffac86

Aliases

arxiv: 1710.05014 · arxiv_version: 1710.05014v1 · doi: 10.48550/arxiv.1710.05014 · pith_short_12: SL4GFO6Q2KPY · pith_short_16: SL4GFO6Q2KPYTKWL · pith_short_8: SL4GFO6Q

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/SL4GFO6Q2KPYTKWL24ZPIDREC7 \
  | 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: 92f862bbd0d29f89aacbd732f40e2417f2cdf8e978e026a09dc85aa852ffac86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9fc92e62ed6a6ea5edfcb577422b39fcfd354f0dee5bf5364a25f3d434468f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-10-13T17:31:02Z",
    "title_canon_sha256": "2c18f9f72c8bcd2e5174a3cbde758f8d710a9ec0cd153aa1d5f01e431d94490d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05014",
    "kind": "arxiv",
    "version": 1
  }
}