Pith Number

pith:TQMTBCWF

pith:2020:TQMTBCWFG6IWGDH6NZ65S7WMNI

not attested not anchored not stored refs pending

A Polyfold proof of Gromov's Non-squeezing Theorem

Anna-Maria Vocke, Franziska Beckschulte, Ipsita Datta, Irene Seifert, Katrin Wehrheim

arxiv:2010.07248 v1 · 2020-10-14 · math.SG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TQMTBCWFG6IWGDH6NZ65S7WMNI}

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	2026-07-05T01:43:03.890703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c19308ac53791630cfe6e7dd97ecc6a0e5d52825df29d13177a9fe113f799c4

Aliases

arxiv: 2010.07248 · arxiv_version: 2010.07248v1 · doi: 10.48550/arxiv.2010.07248 · pith_short_12: TQMTBCWFG6IW · pith_short_16: TQMTBCWFG6IWGDH6 · pith_short_8: TQMTBCWF

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/TQMTBCWFG6IWGDH6NZ65S7WMNI \
  | 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: 9c19308ac53791630cfe6e7dd97ecc6a0e5d52825df29d13177a9fe113f799c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e3ab1dcd58eb56f219859bcfeea3b987e9082c4e5afc74acc180627996993bb",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2020-10-14T17:10:56Z",
    "title_canon_sha256": "51816702f7141a6d9f0eb01aa377f694c9495fac482bf472c65019534cf0318f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.07248",
    "kind": "arxiv",
    "version": 1
  }
}